Finding the Third Proportional to 9,100.50 and 13,637.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,100.50 : 13,637.25 = 13,637.25 : x
2. Step 2: Convert to fraction form
   9,100.50/13,637.25 = 13,637.25/x
3. Step 3: Cross multiply
   9,100.50x = 13,637.25 × 13,637.25
4. Step 4: Simplify right side
   9,100.50x = 185,974,587.56
5. Step 5: Solve for x
   x = 185,974,587.56/9,100.50
6. Step 6: Final answer
   x = 20,435.65