Finding the Third Proportional to 5,006.50 and 7,793.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,006.50 : 7,793.50 = 7,793.50 : x
2. Step 2: Convert to fraction form
   5,006.50/7,793.50 = 7,793.50/x
3. Step 3: Cross multiply
   5,006.50x = 7,793.50 × 7,793.50
4. Step 4: Simplify right side
   5,006.50x = 60,738,642.25
5. Step 5: Solve for x
   x = 60,738,642.25/5,006.50
6. Step 6: Final answer
   x = 12,131.96