Finding the Third Proportional to 34,540 and 74,528

Step by Step Solution

1. Step 1: Write the proportion equation
   34,540 : 74,528 = 74,528 : x
2. Step 2: Convert to fraction form
   34,540/74,528 = 74,528/x
3. Step 3: Cross multiply
   34,540x = 74,528 × 74,528
4. Step 4: Simplify right side
   34,540x = 5,554,422,784
5. Step 5: Solve for x
   x = 5,554,422,784/34,540
6. Step 6: Final answer
   x = 160,811.31