Finding the Third Proportional to 6,402.38 and 13,315.88

Step by Step Solution

1. Step 1: Write the proportion equation
   6,402.38 : 13,315.88 = 13,315.88 : x
2. Step 2: Convert to fraction form
   6,402.38/13,315.88 = 13,315.88/x
3. Step 3: Cross multiply
   6,402.38x = 13,315.88 × 13,315.88
4. Step 4: Simplify right side
   6,402.38x = 177,312,527.02
5. Step 5: Solve for x
   x = 177,312,527.02/6,402.38
6. Step 6: Final answer
   x = 27,694.80