Finding the Third Proportional to 6,148.41 and 9,478.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,148.41 : 9,478.69 = 9,478.69 : x
2. Step 2: Convert to fraction form
   6,148.41/9,478.69 = 9,478.69/x
3. Step 3: Cross multiply
   6,148.41x = 9,478.69 × 9,478.69
4. Step 4: Simplify right side
   6,148.41x = 89,845,516.72
5. Step 5: Solve for x
   x = 89,845,516.72/6,148.41
6. Step 6: Final answer
   x = 14,612.81