Finding the Third Proportional to 25,776 and 34,528

Step by Step Solution

1. Step 1: Write the proportion equation
   25,776 : 34,528 = 34,528 : x
2. Step 2: Convert to fraction form
   25,776/34,528 = 34,528/x
3. Step 3: Cross multiply
   25,776x = 34,528 × 34,528
4. Step 4: Simplify right side
   25,776x = 1,192,182,784
5. Step 5: Solve for x
   x = 1,192,182,784/25,776
6. Step 6: Final answer
   x = 46,251.66