Finding the Third Proportional to 24,820 and 34,494

Step by Step Solution

1. Step 1: Write the proportion equation
   24,820 : 34,494 = 34,494 : x
2. Step 2: Convert to fraction form
   24,820/34,494 = 34,494/x
3. Step 3: Cross multiply
   24,820x = 34,494 × 34,494
4. Step 4: Simplify right side
   24,820x = 1,189,836,036
5. Step 5: Solve for x
   x = 1,189,836,036/24,820
6. Step 6: Final answer
   x = 47,938.60