Finding the Third Proportional to 17,829 and 38,128.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,829 : 38,128.50 = 38,128.50 : x
2. Step 2: Convert to fraction form
   17,829/38,128.50 = 38,128.50/x
3. Step 3: Cross multiply
   17,829x = 38,128.50 × 38,128.50
4. Step 4: Simplify right side
   17,829x = 1,453,782,512.25
5. Step 5: Solve for x
   x = 1,453,782,512.25/17,829
6. Step 6: Final answer
   x = 81,540.33