Finding the Third Proportional to 31,979 and 69,781

Step by Step Solution

1. Step 1: Write the proportion equation
   31,979 : 69,781 = 69,781 : x
2. Step 2: Convert to fraction form
   31,979/69,781 = 69,781/x
3. Step 3: Cross multiply
   31,979x = 69,781 × 69,781
4. Step 4: Simplify right side
   31,979x = 4,869,387,961
5. Step 5: Solve for x
   x = 4,869,387,961/31,979
6. Step 6: Final answer
   x = 152,268.30