Finding the Third Proportional to 20,432 and 32,590

Step by Step Solution

1. Step 1: Write the proportion equation
   20,432 : 32,590 = 32,590 : x
2. Step 2: Convert to fraction form
   20,432/32,590 = 32,590/x
3. Step 3: Cross multiply
   20,432x = 32,590 × 32,590
4. Step 4: Simplify right side
   20,432x = 1,062,108,100
5. Step 5: Solve for x
   x = 1,062,108,100/20,432
6. Step 6: Final answer
   x = 51,982.58