Finding the Third Proportional to 10,414.63 and 14,842.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,414.63 : 14,842.88 = 14,842.88 : x
2. Step 2: Convert to fraction form
   10,414.63/14,842.88 = 14,842.88/x
3. Step 3: Cross multiply
   10,414.63x = 14,842.88 × 14,842.88
4. Step 4: Simplify right side
   10,414.63x = 220,310,938.27
5. Step 5: Solve for x
   x = 220,310,938.27/10,414.63
6. Step 6: Final answer
   x = 21,154.00