Finding the Third Proportional to 22,969 and 48,012

Step by Step Solution

1. Step 1: Write the proportion equation
   22,969 : 48,012 = 48,012 : x
2. Step 2: Convert to fraction form
   22,969/48,012 = 48,012/x
3. Step 3: Cross multiply
   22,969x = 48,012 × 48,012
4. Step 4: Simplify right side
   22,969x = 2,305,152,144
5. Step 5: Solve for x
   x = 2,305,152,144/22,969
6. Step 6: Final answer
   x = 100,359.27