Finding the Third Proportional to 6,592.50 and 8,949.38

Step by Step Solution

1. Step 1: Write the proportion equation
   6,592.50 : 8,949.38 = 8,949.38 : x
2. Step 2: Convert to fraction form
   6,592.50/8,949.38 = 8,949.38/x
3. Step 3: Cross multiply
   6,592.50x = 8,949.38 × 8,949.38
4. Step 4: Simplify right side
   6,592.50x = 80,091,312.89
5. Step 5: Solve for x
   x = 80,091,312.89/6,592.50
6. Step 6: Final answer
   x = 12,148.85