Finding the Third Proportional to 14,177.75 and 21,128.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,177.75 : 21,128.50 = 21,128.50 : x
2. Step 2: Convert to fraction form
   14,177.75/21,128.50 = 21,128.50/x
3. Step 3: Cross multiply
   14,177.75x = 21,128.50 × 21,128.50
4. Step 4: Simplify right side
   14,177.75x = 446,413,512.25
5. Step 5: Solve for x
   x = 446,413,512.25/14,177.75
6. Step 6: Final answer
   x = 31,486.91