Finding the Third Proportional to 22,566 and 52,014

Step by Step Solution

1. Step 1: Write the proportion equation
   22,566 : 52,014 = 52,014 : x
2. Step 2: Convert to fraction form
   22,566/52,014 = 52,014/x
3. Step 3: Cross multiply
   22,566x = 52,014 × 52,014
4. Step 4: Simplify right side
   22,566x = 2,705,456,196
5. Step 5: Solve for x
   x = 2,705,456,196/22,566
6. Step 6: Final answer
   x = 119,890.82