Finding the Third Proportional to 31,904 and 69,946

Step by Step Solution

1. Step 1: Write the proportion equation
   31,904 : 69,946 = 69,946 : x
2. Step 2: Convert to fraction form
   31,904/69,946 = 69,946/x
3. Step 3: Cross multiply
   31,904x = 69,946 × 69,946
4. Step 4: Simplify right side
   31,904x = 4,892,442,916
5. Step 5: Solve for x
   x = 4,892,442,916/31,904
6. Step 6: Final answer
   x = 153,348.89