Finding the Third Proportional to 22,205 and 32,968.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,205 : 32,968.50 = 32,968.50 : x
2. Step 2: Convert to fraction form
   22,205/32,968.50 = 32,968.50/x
3. Step 3: Cross multiply
   22,205x = 32,968.50 × 32,968.50
4. Step 4: Simplify right side
   22,205x = 1,086,921,992.25
5. Step 5: Solve for x
   x = 1,086,921,992.25/22,205
6. Step 6: Final answer
   x = 48,949.43