Finding the Third Proportional to 22,444 and 32,686

Step by Step Solution

1. Step 1: Write the proportion equation
   22,444 : 32,686 = 32,686 : x
2. Step 2: Convert to fraction form
   22,444/32,686 = 32,686/x
3. Step 3: Cross multiply
   22,444x = 32,686 × 32,686
4. Step 4: Simplify right side
   22,444x = 1,068,374,596
5. Step 5: Solve for x
   x = 1,068,374,596/22,444
6. Step 6: Final answer
   x = 47,601.79