Finding the Third Proportional to 54,793.50 and 82,783.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,793.50 : 82,783.50 = 82,783.50 : x
2. Step 2: Convert to fraction form
   54,793.50/82,783.50 = 82,783.50/x
3. Step 3: Cross multiply
   54,793.50x = 82,783.50 × 82,783.50
4. Step 4: Simplify right side
   54,793.50x = 6,853,107,872.25
5. Step 5: Solve for x
   x = 6,853,107,872.25/54,793.50
6. Step 6: Final answer
   x = 125,071.55