Finding the Third Proportional to 11,542.50 and 23,702.63

Step by Step Solution

1. Step 1: Write the proportion equation
   11,542.50 : 23,702.63 = 23,702.63 : x
2. Step 2: Convert to fraction form
   11,542.50/23,702.63 = 23,702.63/x
3. Step 3: Cross multiply
   11,542.50x = 23,702.63 × 23,702.63
4. Step 4: Simplify right side
   11,542.50x = 561,814,431.89
5. Step 5: Solve for x
   x = 561,814,431.89/11,542.50
6. Step 6: Final answer
   x = 48,673.55