Finding the Third Proportional to 31,761 and 68,301

Step by Step Solution

1. Step 1: Write the proportion equation
   31,761 : 68,301 = 68,301 : x
2. Step 2: Convert to fraction form
   31,761/68,301 = 68,301/x
3. Step 3: Cross multiply
   31,761x = 68,301 × 68,301
4. Step 4: Simplify right side
   31,761x = 4,665,026,601
5. Step 5: Solve for x
   x = 4,665,026,601/31,761
6. Step 6: Final answer
   x = 146,879.08