Finding the Third Proportional to 22,978 and 35,466

Step by Step Solution

1. Step 1: Write the proportion equation
   22,978 : 35,466 = 35,466 : x
2. Step 2: Convert to fraction form
   22,978/35,466 = 35,466/x
3. Step 3: Cross multiply
   22,978x = 35,466 × 35,466
4. Step 4: Simplify right side
   22,978x = 1,257,837,156
5. Step 5: Solve for x
   x = 1,257,837,156/22,978
6. Step 6: Final answer
   x = 54,740.93