Finding the Third Proportional to 1,269,981,676,400 and 1,941,416,064,670

Step by Step Solution

1. Step 1: Write the proportion equation
   1,269,981,676,400 : 1,941,416,064,670 = 1,941,416,064,670 : x
2. Step 2: Convert to fraction form
   1,269,981,676,400/1,941,416,064,670 = 1,941,416,064,670/x
3. Step 3: Cross multiply
   1,269,981,676,400x = 1,941,416,064,670 × 1,941,416,064,670
4. Step 4: Simplify right side
   1,269,981,676,400x = 3,769,096,336,158,749,848,764,416
5. Step 5: Solve for x
   x = 3,769,096,336,158,749,848,764,416/1,269,981,676,400
6. Step 6: Final answer
   x = 2,967,835,210,696.08