Finding the Third Proportional to 21,785 and 32,590

Step by Step Solution

1. Step 1: Write the proportion equation
   21,785 : 32,590 = 32,590 : x
2. Step 2: Convert to fraction form
   21,785/32,590 = 32,590/x
3. Step 3: Cross multiply
   21,785x = 32,590 × 32,590
4. Step 4: Simplify right side
   21,785x = 1,062,108,100
5. Step 5: Solve for x
   x = 1,062,108,100/21,785
6. Step 6: Final answer
   x = 48,754.10