Finding the Third Proportional to 40,625 and 64,872.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,625 : 64,872.50 = 64,872.50 : x
2. Step 2: Convert to fraction form
   40,625/64,872.50 = 64,872.50/x
3. Step 3: Cross multiply
   40,625x = 64,872.50 × 64,872.50
4. Step 4: Simplify right side
   40,625x = 4,208,441,256.25
5. Step 5: Solve for x
   x = 4,208,441,256.25/40,625
6. Step 6: Final answer
   x = 103,592.40