Finding the Third Proportional to 9,100.13 and 13,662.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,100.13 : 13,662.56 = 13,662.56 : x
2. Step 2: Convert to fraction form
   9,100.13/13,662.56 = 13,662.56/x
3. Step 3: Cross multiply
   9,100.13x = 13,662.56 × 13,662.56
4. Step 4: Simplify right side
   9,100.13x = 186,665,614.07
5. Step 5: Solve for x
   x = 186,665,614.07/9,100.13
6. Step 6: Final answer
   x = 20,512.42