Finding the Third Proportional to 22,221 and 32,269.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,221 : 32,269.50 = 32,269.50 : x
2. Step 2: Convert to fraction form
   22,221/32,269.50 = 32,269.50/x
3. Step 3: Cross multiply
   22,221x = 32,269.50 × 32,269.50
4. Step 4: Simplify right side
   22,221x = 1,041,320,630.25
5. Step 5: Solve for x
   x = 1,041,320,630.25/22,221
6. Step 6: Final answer
   x = 46,862.01