Finding the Third Proportional to 6,414 and 14,779.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,414 : 14,779.50 = 14,779.50 : x
2. Step 2: Convert to fraction form
   6,414/14,779.50 = 14,779.50/x
3. Step 3: Cross multiply
   6,414x = 14,779.50 × 14,779.50
4. Step 4: Simplify right side
   6,414x = 218,433,620.25
5. Step 5: Solve for x
   x = 218,433,620.25/6,414
6. Step 6: Final answer
   x = 34,055.76