Finding the Third Proportional to 30,165.50 and 64,337.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,165.50 : 64,337.50 = 64,337.50 : x
2. Step 2: Convert to fraction form
   30,165.50/64,337.50 = 64,337.50/x
3. Step 3: Cross multiply
   30,165.50x = 64,337.50 × 64,337.50
4. Step 4: Simplify right side
   30,165.50x = 4,139,313,906.25
5. Step 5: Solve for x
   x = 4,139,313,906.25/30,165.50
6. Step 6: Final answer
   x = 137,220.13