Finding the Third Proportional to 31,466 and 69,151

Step by Step Solution

1. Step 1: Write the proportion equation
   31,466 : 69,151 = 69,151 : x
2. Step 2: Convert to fraction form
   31,466/69,151 = 69,151/x
3. Step 3: Cross multiply
   31,466x = 69,151 × 69,151
4. Step 4: Simplify right side
   31,466x = 4,781,860,801
5. Step 5: Solve for x
   x = 4,781,860,801/31,466
6. Step 6: Final answer
   x = 151,969.13