Finding the Third Proportional to 69,448 and 105,670

Step by Step Solution

1. Step 1: Write the proportion equation
   69,448 : 105,670 = 105,670 : x
2. Step 2: Convert to fraction form
   69,448/105,670 = 105,670/x
3. Step 3: Cross multiply
   69,448x = 105,670 × 105,670
4. Step 4: Simplify right side
   69,448x = 11,166,148,900
5. Step 5: Solve for x
   x = 11,166,148,900/69,448
6. Step 6: Final answer
   x = 160,784.31