Finding the Third Proportional to 23,638.50 and 31,540.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,638.50 : 31,540.50 = 31,540.50 : x
2. Step 2: Convert to fraction form
   23,638.50/31,540.50 = 31,540.50/x
3. Step 3: Cross multiply
   23,638.50x = 31,540.50 × 31,540.50
4. Step 4: Simplify right side
   23,638.50x = 994,803,140.25
5. Step 5: Solve for x
   x = 994,803,140.25/23,638.50
6. Step 6: Final answer
   x = 42,084.02