Finding the Third Proportional to 10,900.13 and 16,306.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,900.13 : 16,306.88 = 16,306.88 : x
2. Step 2: Convert to fraction form
   10,900.13/16,306.88 = 16,306.88/x
3. Step 3: Cross multiply
   10,900.13x = 16,306.88 × 16,306.88
4. Step 4: Simplify right side
   10,900.13x = 265,914,172.27
5. Step 5: Solve for x
   x = 265,914,172.27/10,900.13
6. Step 6: Final answer
   x = 24,395.52