Finding the Third Proportional to 29,678 and 45,398

Step by Step Solution

1. Step 1: Write the proportion equation
   29,678 : 45,398 = 45,398 : x
2. Step 2: Convert to fraction form
   29,678/45,398 = 45,398/x
3. Step 3: Cross multiply
   29,678x = 45,398 × 45,398
4. Step 4: Simplify right side
   29,678x = 2,060,978,404
5. Step 5: Solve for x
   x = 2,060,978,404/29,678
6. Step 6: Final answer
   x = 69,444.65