Finding the Third Proportional to 34,602.50 and 75,666.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,602.50 : 75,666.50 = 75,666.50 : x
2. Step 2: Convert to fraction form
   34,602.50/75,666.50 = 75,666.50/x
3. Step 3: Cross multiply
   34,602.50x = 75,666.50 × 75,666.50
4. Step 4: Simplify right side
   34,602.50x = 5,725,419,222.25
5. Step 5: Solve for x
   x = 5,725,419,222.25/34,602.50
6. Step 6: Final answer
   x = 165,462.59