Finding the Third Proportional to 31,533 and 65,988

Step by Step Solution

1. Step 1: Write the proportion equation
   31,533 : 65,988 = 65,988 : x
2. Step 2: Convert to fraction form
   31,533/65,988 = 65,988/x
3. Step 3: Cross multiply
   31,533x = 65,988 × 65,988
4. Step 4: Simplify right side
   31,533x = 4,354,416,144
5. Step 5: Solve for x
   x = 4,354,416,144/31,533
6. Step 6: Final answer
   x = 138,090.77