Finding the Third Proportional to 25,434 and 53,784

Step by Step Solution

1. Step 1: Write the proportion equation
   25,434 : 53,784 = 53,784 : x
2. Step 2: Convert to fraction form
   25,434/53,784 = 53,784/x
3. Step 3: Cross multiply
   25,434x = 53,784 × 53,784
4. Step 4: Simplify right side
   25,434x = 2,892,718,656
5. Step 5: Solve for x
   x = 2,892,718,656/25,434
6. Step 6: Final answer
   x = 113,734.32