Finding the Third Proportional to 34,548 and 75,792

Step by Step Solution

1. Step 1: Write the proportion equation
   34,548 : 75,792 = 75,792 : x
2. Step 2: Convert to fraction form
   34,548/75,792 = 75,792/x
3. Step 3: Cross multiply
   34,548x = 75,792 × 75,792
4. Step 4: Simplify right side
   34,548x = 5,744,427,264
5. Step 5: Solve for x
   x = 5,744,427,264/34,548
6. Step 6: Final answer
   x = 166,273.80