Finding the Third Proportional to 53,638.50 and 63,520.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,638.50 : 63,520.50 = 63,520.50 : x
2. Step 2: Convert to fraction form
   53,638.50/63,520.50 = 63,520.50/x
3. Step 3: Cross multiply
   53,638.50x = 63,520.50 × 63,520.50
4. Step 4: Simplify right side
   53,638.50x = 4,034,853,920.25
5. Step 5: Solve for x
   x = 4,034,853,920.25/53,638.50
6. Step 6: Final answer
   x = 75,223.09