Finding the Third Proportional to 36,337.50 and 77,072.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,337.50 : 77,072.50 = 77,072.50 : x
2. Step 2: Convert to fraction form
   36,337.50/77,072.50 = 77,072.50/x
3. Step 3: Cross multiply
   36,337.50x = 77,072.50 × 77,072.50
4. Step 4: Simplify right side
   36,337.50x = 5,940,170,256.25
5. Step 5: Solve for x
   x = 5,940,170,256.25/36,337.50
6. Step 6: Final answer
   x = 163,472.18