Finding the Third Proportional to 20,428 and 32,584

Step by Step Solution

1. Step 1: Write the proportion equation
   20,428 : 32,584 = 32,584 : x
2. Step 2: Convert to fraction form
   20,428/32,584 = 32,584/x
3. Step 3: Cross multiply
   20,428x = 32,584 × 32,584
4. Step 4: Simplify right side
   20,428x = 1,061,717,056
5. Step 5: Solve for x
   x = 1,061,717,056/20,428
6. Step 6: Final answer
   x = 51,973.62