Finding the Third Proportional to 34,566 and 52,165.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,566 : 52,165.50 = 52,165.50 : x
2. Step 2: Convert to fraction form
   34,566/52,165.50 = 52,165.50/x
3. Step 3: Cross multiply
   34,566x = 52,165.50 × 52,165.50
4. Step 4: Simplify right side
   34,566x = 2,721,239,390.25
5. Step 5: Solve for x
   x = 2,721,239,390.25/34,566
6. Step 6: Final answer
   x = 78,725.90