Finding the Third Proportional to 34,776 and 74,792

Step by Step Solution

1. Step 1: Write the proportion equation
   34,776 : 74,792 = 74,792 : x
2. Step 2: Convert to fraction form
   34,776/74,792 = 74,792/x
3. Step 3: Cross multiply
   34,776x = 74,792 × 74,792
4. Step 4: Simplify right side
   34,776x = 5,593,843,264
5. Step 5: Solve for x
   x = 5,593,843,264/34,776
6. Step 6: Final answer
   x = 160,853.56