Finding the Third Proportional to 17,820 and 38,464.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,820 : 38,464.50 = 38,464.50 : x
2. Step 2: Convert to fraction form
   17,820/38,464.50 = 38,464.50/x
3. Step 3: Cross multiply
   17,820x = 38,464.50 × 38,464.50
4. Step 4: Simplify right side
   17,820x = 1,479,517,760.25
5. Step 5: Solve for x
   x = 1,479,517,760.25/17,820
6. Step 6: Final answer
   x = 83,025.69