Finding the Third Proportional to 35,404 and 51,738

Step by Step Solution

1. Step 1: Write the proportion equation
   35,404 : 51,738 = 51,738 : x
2. Step 2: Convert to fraction form
   35,404/51,738 = 51,738/x
3. Step 3: Cross multiply
   35,404x = 51,738 × 51,738
4. Step 4: Simplify right side
   35,404x = 2,676,820,644
5. Step 5: Solve for x
   x = 2,676,820,644/35,404
6. Step 6: Final answer
   x = 75,607.86