Finding the Third Proportional to 24,746 and 55,012

Step by Step Solution

1. Step 1: Write the proportion equation
   24,746 : 55,012 = 55,012 : x
2. Step 2: Convert to fraction form
   24,746/55,012 = 55,012/x
3. Step 3: Cross multiply
   24,746x = 55,012 × 55,012
4. Step 4: Simplify right side
   24,746x = 3,026,320,144
5. Step 5: Solve for x
   x = 3,026,320,144/24,746
6. Step 6: Final answer
   x = 122,295.33