Finding the Third Proportional to 10,112.63 and 15,829.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,112.63 : 15,829.50 = 15,829.50 : x
2. Step 2: Convert to fraction form
   10,112.63/15,829.50 = 15,829.50/x
3. Step 3: Cross multiply
   10,112.63x = 15,829.50 × 15,829.50
4. Step 4: Simplify right side
   10,112.63x = 250,573,070.25
5. Step 5: Solve for x
   x = 250,573,070.25/10,112.63
6. Step 6: Final answer
   x = 24,778.24