Finding the Third Proportional to 31,487 and 48,745.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,487 : 48,745.50 = 48,745.50 : x
2. Step 2: Convert to fraction form
   31,487/48,745.50 = 48,745.50/x
3. Step 3: Cross multiply
   31,487x = 48,745.50 × 48,745.50
4. Step 4: Simplify right side
   31,487x = 2,376,123,770.25
5. Step 5: Solve for x
   x = 2,376,123,770.25/31,487
6. Step 6: Final answer
   x = 75,463.64