Finding the Third Proportional to 31,200 and 63,657

Step by Step Solution

1. Step 1: Write the proportion equation
   31,200 : 63,657 = 63,657 : x
2. Step 2: Convert to fraction form
   31,200/63,657 = 63,657/x
3. Step 3: Cross multiply
   31,200x = 63,657 × 63,657
4. Step 4: Simplify right side
   31,200x = 4,052,213,649
5. Step 5: Solve for x
   x = 4,052,213,649/31,200
6. Step 6: Final answer
   x = 129,878.64