Finding the Third Proportional to 24,822 and 54,012

Step by Step Solution

1. Step 1: Write the proportion equation
   24,822 : 54,012 = 54,012 : x
2. Step 2: Convert to fraction form
   24,822/54,012 = 54,012/x
3. Step 3: Cross multiply
   24,822x = 54,012 × 54,012
4. Step 4: Simplify right side
   24,822x = 2,917,296,144
5. Step 5: Solve for x
   x = 2,917,296,144/24,822
6. Step 6: Final answer
   x = 117,528.65