Finding the Third Proportional to 49,876 and 75,331.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,876 : 75,331.50 = 75,331.50 : x
2. Step 2: Convert to fraction form
   49,876/75,331.50 = 75,331.50/x
3. Step 3: Cross multiply
   49,876x = 75,331.50 × 75,331.50
4. Step 4: Simplify right side
   49,876x = 5,674,834,892.25
5. Step 5: Solve for x
   x = 5,674,834,892.25/49,876
6. Step 6: Final answer
   x = 113,778.87