Finding the Third Proportional to 9,637.88 and 14,661.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,637.88 : 14,661.56 = 14,661.56 : x
2. Step 2: Convert to fraction form
   9,637.88/14,661.56 = 14,661.56/x
3. Step 3: Cross multiply
   9,637.88x = 14,661.56 × 14,661.56
4. Step 4: Simplify right side
   9,637.88x = 214,961,414.94
5. Step 5: Solve for x
   x = 214,961,414.94/9,637.88
6. Step 6: Final answer
   x = 22,303.82