Finding the Third Proportional to 47,538 and 63,650

Step by Step Solution

1. Step 1: Write the proportion equation
   47,538 : 63,650 = 63,650 : x
2. Step 2: Convert to fraction form
   47,538/63,650 = 63,650/x
3. Step 3: Cross multiply
   47,538x = 63,650 × 63,650
4. Step 4: Simplify right side
   47,538x = 4,051,322,500
5. Step 5: Solve for x
   x = 4,051,322,500/47,538
6. Step 6: Final answer
   x = 85,222.82