Finding the Third Proportional to 6,925.50 and 9,978.19

Step by Step Solution

1. Step 1: Write the proportion equation
   6,925.50 : 9,978.19 = 9,978.19 : x
2. Step 2: Convert to fraction form
   6,925.50/9,978.19 = 9,978.19/x
3. Step 3: Cross multiply
   6,925.50x = 9,978.19 × 9,978.19
4. Step 4: Simplify right side
   6,925.50x = 99,564,225.79
5. Step 5: Solve for x
   x = 99,564,225.79/6,925.50
6. Step 6: Final answer
   x = 14,376.47