Finding the Third Proportional to 51,335 and 76,793.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,335 : 76,793.50 = 76,793.50 : x
2. Step 2: Convert to fraction form
   51,335/76,793.50 = 76,793.50/x
3. Step 3: Cross multiply
   51,335x = 76,793.50 × 76,793.50
4. Step 4: Simplify right side
   51,335x = 5,897,241,642.25
5. Step 5: Solve for x
   x = 5,897,241,642.25/51,335
6. Step 6: Final answer
   x = 114,877.60