Finding the Third Proportional to 34,464.50 and 74,578

Step by Step Solution

1. Step 1: Write the proportion equation
   34,464.50 : 74,578 = 74,578 : x
2. Step 2: Convert to fraction form
   34,464.50/74,578 = 74,578/x
3. Step 3: Cross multiply
   34,464.50x = 74,578 × 74,578
4. Step 4: Simplify right side
   34,464.50x = 5,561,878,084
5. Step 5: Solve for x
   x = 5,561,878,084/34,464.50
6. Step 6: Final answer
   x = 161,379.92