Finding the Third Proportional to 47,781.98 and 75,910.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,781.98 : 75,910.50 = 75,910.50 : x
2. Step 2: Convert to fraction form
   47,781.98/75,910.50 = 75,910.50/x
3. Step 3: Cross multiply
   47,781.98x = 75,910.50 × 75,910.50
4. Step 4: Simplify right side
   47,781.98x = 5,762,404,010.25
5. Step 5: Solve for x
   x = 5,762,404,010.25/47,781.98
6. Step 6: Final answer
   x = 120,597.84