Finding the Third Proportional to 13,638.50 and 29,879.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,638.50 : 29,879.50 = 29,879.50 : x
2. Step 2: Convert to fraction form
   13,638.50/29,879.50 = 29,879.50/x
3. Step 3: Cross multiply
   13,638.50x = 29,879.50 × 29,879.50
4. Step 4: Simplify right side
   13,638.50x = 892,784,520.25
5. Step 5: Solve for x
   x = 892,784,520.25/13,638.50
6. Step 6: Final answer
   x = 65,460.61