Finding the Third Proportional to 31,554 and 68,454

Step by Step Solution

1. Step 1: Write the proportion equation
   31,554 : 68,454 = 68,454 : x
2. Step 2: Convert to fraction form
   31,554/68,454 = 68,454/x
3. Step 3: Cross multiply
   31,554x = 68,454 × 68,454
4. Step 4: Simplify right side
   31,554x = 4,685,950,116
5. Step 5: Solve for x
   x = 4,685,950,116/31,554
6. Step 6: Final answer
   x = 148,505.74