Finding the Third Proportional to 25,792 and 34,798

Step by Step Solution

1. Step 1: Write the proportion equation
   25,792 : 34,798 = 34,798 : x
2. Step 2: Convert to fraction form
   25,792/34,798 = 34,798/x
3. Step 3: Cross multiply
   25,792x = 34,798 × 34,798
4. Step 4: Simplify right side
   25,792x = 1,210,900,804
5. Step 5: Solve for x
   x = 1,210,900,804/25,792
6. Step 6: Final answer
   x = 46,948.70