Finding the Third Proportional to 22,194 and 32,643

Step by Step Solution

1. Step 1: Write the proportion equation
   22,194 : 32,643 = 32,643 : x
2. Step 2: Convert to fraction form
   22,194/32,643 = 32,643/x
3. Step 3: Cross multiply
   22,194x = 32,643 × 32,643
4. Step 4: Simplify right side
   22,194x = 1,065,565,449
5. Step 5: Solve for x
   x = 1,065,565,449/22,194
6. Step 6: Final answer
   x = 48,011.42