Finding the Third Proportional to 31,539 and 65,997

Step by Step Solution

1. Step 1: Write the proportion equation
   31,539 : 65,997 = 65,997 : x
2. Step 2: Convert to fraction form
   31,539/65,997 = 65,997/x
3. Step 3: Cross multiply
   31,539x = 65,997 × 65,997
4. Step 4: Simplify right side
   31,539x = 4,355,604,009
5. Step 5: Solve for x
   x = 4,355,604,009/31,539
6. Step 6: Final answer
   x = 138,102.16