Finding the Third Proportional to 13,626 and 23,128.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,626 : 23,128.50 = 23,128.50 : x
2. Step 2: Convert to fraction form
   13,626/23,128.50 = 23,128.50/x
3. Step 3: Cross multiply
   13,626x = 23,128.50 × 23,128.50
4. Step 4: Simplify right side
   13,626x = 534,927,512.25
5. Step 5: Solve for x
   x = 534,927,512.25/13,626
6. Step 6: Final answer
   x = 39,257.85