Finding the Third Proportional to 69,464 and 103,738

Step by Step Solution

1. Step 1: Write the proportion equation
   69,464 : 103,738 = 103,738 : x
2. Step 2: Convert to fraction form
   69,464/103,738 = 103,738/x
3. Step 3: Cross multiply
   69,464x = 103,738 × 103,738
4. Step 4: Simplify right side
   69,464x = 10,761,572,644
5. Step 5: Solve for x
   x = 10,761,572,644/69,464
6. Step 6: Final answer
   x = 154,923.02