Finding the Third Proportional to 32,777.50 and 71,507

Step by Step Solution

1. Step 1: Write the proportion equation
   32,777.50 : 71,507 = 71,507 : x
2. Step 2: Convert to fraction form
   32,777.50/71,507 = 71,507/x
3. Step 3: Cross multiply
   32,777.50x = 71,507 × 71,507
4. Step 4: Simplify right side
   32,777.50x = 5,113,251,049
5. Step 5: Solve for x
   x = 5,113,251,049/32,777.50
6. Step 6: Final answer
   x = 155,998.81