Finding the Third Proportional to 14,638.50 and 34,540.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,638.50 : 34,540.50 = 34,540.50 : x
2. Step 2: Convert to fraction form
   14,638.50/34,540.50 = 34,540.50/x
3. Step 3: Cross multiply
   14,638.50x = 34,540.50 × 34,540.50
4. Step 4: Simplify right side
   14,638.50x = 1,193,046,140.25
5. Step 5: Solve for x
   x = 1,193,046,140.25/14,638.50
6. Step 6: Final answer
   x = 81,500.57