Finding the Third Proportional to 15,536 and 32,590

Step by Step Solution

1. Step 1: Write the proportion equation
   15,536 : 32,590 = 32,590 : x
2. Step 2: Convert to fraction form
   15,536/32,590 = 32,590/x
3. Step 3: Cross multiply
   15,536x = 32,590 × 32,590
4. Step 4: Simplify right side
   15,536x = 1,062,108,100
5. Step 5: Solve for x
   x = 1,062,108,100/15,536
6. Step 6: Final answer
   x = 68,364.32