Finding the Third Proportional to 20,984 and 32,023

Step by Step Solution

1. Step 1: Write the proportion equation
   20,984 : 32,023 = 32,023 : x
2. Step 2: Convert to fraction form
   20,984/32,023 = 32,023/x
3. Step 3: Cross multiply
   20,984x = 32,023 × 32,023
4. Step 4: Simplify right side
   20,984x = 1,025,472,529
5. Step 5: Solve for x
   x = 1,025,472,529/20,984
6. Step 6: Final answer
   x = 48,869.26