Finding the Third Proportional to 34,491 and 73,566

Step by Step Solution

1. Step 1: Write the proportion equation
   34,491 : 73,566 = 73,566 : x
2. Step 2: Convert to fraction form
   34,491/73,566 = 73,566/x
3. Step 3: Cross multiply
   34,491x = 73,566 × 73,566
4. Step 4: Simplify right side
   34,491x = 5,411,956,356
5. Step 5: Solve for x
   x = 5,411,956,356/34,491
6. Step 6: Final answer
   x = 156,909.23