Finding the Third Proportional to 22,296 and 32,778

Step by Step Solution

1. Step 1: Write the proportion equation
   22,296 : 32,778 = 32,778 : x
2. Step 2: Convert to fraction form
   22,296/32,778 = 32,778/x
3. Step 3: Cross multiply
   22,296x = 32,778 × 32,778
4. Step 4: Simplify right side
   22,296x = 1,074,397,284
5. Step 5: Solve for x
   x = 1,074,397,284/22,296
6. Step 6: Final answer
   x = 48,187.89