Finding the Third Proportional to 6,468.19 and 14,959.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,468.19 : 14,959.69 = 14,959.69 : x
2. Step 2: Convert to fraction form
   6,468.19/14,959.69 = 14,959.69/x
3. Step 3: Cross multiply
   6,468.19x = 14,959.69 × 14,959.69
4. Step 4: Simplify right side
   6,468.19x = 223,792,250.10
5. Step 5: Solve for x
   x = 223,792,250.10/6,468.19
6. Step 6: Final answer
   x = 34,598.91