Finding the Third Proportional to 10,116.14 and 15,315.33

Step by Step Solution

1. Step 1: Write the proportion equation
   10,116.14 : 15,315.33 = 15,315.33 : x
2. Step 2: Convert to fraction form
   10,116.14/15,315.33 = 15,315.33/x
3. Step 3: Cross multiply
   10,116.14x = 15,315.33 × 15,315.33
4. Step 4: Simplify right side
   10,116.14x = 234,559,275.58
5. Step 5: Solve for x
   x = 234,559,275.58/10,116.14
6. Step 6: Final answer
   x = 23,186.64