Finding the Third Proportional to 25,776 and 34,604

Step by Step Solution

1. Step 1: Write the proportion equation
   25,776 : 34,604 = 34,604 : x
2. Step 2: Convert to fraction form
   25,776/34,604 = 34,604/x
3. Step 3: Cross multiply
   25,776x = 34,604 × 34,604
4. Step 4: Simplify right side
   25,776x = 1,197,436,816
5. Step 5: Solve for x
   x = 1,197,436,816/25,776
6. Step 6: Final answer
   x = 46,455.49