Finding the Third Proportional to 53,638 and 63,520

Step by Step Solution

1. Step 1: Write the proportion equation
   53,638 : 63,520 = 63,520 : x
2. Step 2: Convert to fraction form
   53,638/63,520 = 63,520/x
3. Step 3: Cross multiply
   53,638x = 63,520 × 63,520
4. Step 4: Simplify right side
   53,638x = 4,034,790,400
5. Step 5: Solve for x
   x = 4,034,790,400/53,638
6. Step 6: Final answer
   x = 75,222.61