Finding the Third Proportional to 34,616.50 and 74,538

Step by Step Solution

1. Step 1: Write the proportion equation
   34,616.50 : 74,538 = 74,538 : x
2. Step 2: Convert to fraction form
   34,616.50/74,538 = 74,538/x
3. Step 3: Cross multiply
   34,616.50x = 74,538 × 74,538
4. Step 4: Simplify right side
   34,616.50x = 5,555,913,444
5. Step 5: Solve for x
   x = 5,555,913,444/34,616.50
6. Step 6: Final answer
   x = 160,498.99