Finding the Third Proportional to 51,882 and 82,590

Step by Step Solution

1. Step 1: Write the proportion equation
   51,882 : 82,590 = 82,590 : x
2. Step 2: Convert to fraction form
   51,882/82,590 = 82,590/x
3. Step 3: Cross multiply
   51,882x = 82,590 × 82,590
4. Step 4: Simplify right side
   51,882x = 6,821,108,100
5. Step 5: Solve for x
   x = 6,821,108,100/51,882
6. Step 6: Final answer
   x = 131,473.50