Finding the Third Proportional to 25,822 and 54,748

Step by Step Solution

1. Step 1: Write the proportion equation
   25,822 : 54,748 = 54,748 : x
2. Step 2: Convert to fraction form
   25,822/54,748 = 54,748/x
3. Step 3: Cross multiply
   25,822x = 54,748 × 54,748
4. Step 4: Simplify right side
   25,822x = 2,997,343,504
5. Step 5: Solve for x
   x = 2,997,343,504/25,822
6. Step 6: Final answer
   x = 116,077.12