Finding the Third Proportional to 10,003.50 and 15,541.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,003.50 : 15,541.88 = 15,541.88 : x
2. Step 2: Convert to fraction form
   10,003.50/15,541.88 = 15,541.88/x
3. Step 3: Cross multiply
   10,003.50x = 15,541.88 × 15,541.88
4. Step 4: Simplify right side
   10,003.50x = 241,549,878.52
5. Step 5: Solve for x
   x = 241,549,878.52/10,003.50
6. Step 6: Final answer
   x = 24,146.54