Finding the Third Proportional to 25,582 and 55,368

Step by Step Solution

1. Step 1: Write the proportion equation
   25,582 : 55,368 = 55,368 : x
2. Step 2: Convert to fraction form
   25,582/55,368 = 55,368/x
3. Step 3: Cross multiply
   25,582x = 55,368 × 55,368
4. Step 4: Simplify right side
   25,582x = 3,065,615,424
5. Step 5: Solve for x
   x = 3,065,615,424/25,582
6. Step 6: Final answer
   x = 119,834.86