Finding the Third Proportional to 35,666 and 76,270

Step by Step Solution

1. Step 1: Write the proportion equation
   35,666 : 76,270 = 76,270 : x
2. Step 2: Convert to fraction form
   35,666/76,270 = 76,270/x
3. Step 3: Cross multiply
   35,666x = 76,270 × 76,270
4. Step 4: Simplify right side
   35,666x = 5,817,112,900
5. Step 5: Solve for x
   x = 5,817,112,900/35,666
6. Step 6: Final answer
   x = 163,099.67