Finding the Third Proportional to 22,325 and 33,776

Step by Step Solution

1. Step 1: Write the proportion equation
   22,325 : 33,776 = 33,776 : x
2. Step 2: Convert to fraction form
   22,325/33,776 = 33,776/x
3. Step 3: Cross multiply
   22,325x = 33,776 × 33,776
4. Step 4: Simplify right side
   22,325x = 1,140,818,176
5. Step 5: Solve for x
   x = 1,140,818,176/22,325
6. Step 6: Final answer
   x = 51,100.48