Finding the Third Proportional to 31,827 and 69,942

Step by Step Solution

1. Step 1: Write the proportion equation
   31,827 : 69,942 = 69,942 : x
2. Step 2: Convert to fraction form
   31,827/69,942 = 69,942/x
3. Step 3: Cross multiply
   31,827x = 69,942 × 69,942
4. Step 4: Simplify right side
   31,827x = 4,891,883,364
5. Step 5: Solve for x
   x = 4,891,883,364/31,827
6. Step 6: Final answer
   x = 153,702.31