Finding the Third Proportional to 34,800 and 74,524

Step by Step Solution

1. Step 1: Write the proportion equation
   34,800 : 74,524 = 74,524 : x
2. Step 2: Convert to fraction form
   34,800/74,524 = 74,524/x
3. Step 3: Cross multiply
   34,800x = 74,524 × 74,524
4. Step 4: Simplify right side
   34,800x = 5,553,826,576
5. Step 5: Solve for x
   x = 5,553,826,576/34,800
6. Step 6: Final answer
   x = 159,592.72