Finding the Third Proportional to 22,699 and 52,746

Step by Step Solution

1. Step 1: Write the proportion equation
   22,699 : 52,746 = 52,746 : x
2. Step 2: Convert to fraction form
   22,699/52,746 = 52,746/x
3. Step 3: Cross multiply
   22,699x = 52,746 × 52,746
4. Step 4: Simplify right side
   22,699x = 2,782,140,516
5. Step 5: Solve for x
   x = 2,782,140,516/22,699
6. Step 6: Final answer
   x = 122,566.66