Finding the Third Proportional to 15,882 and 34,586

Step by Step Solution

1. Step 1: Write the proportion equation
   15,882 : 34,586 = 34,586 : x
2. Step 2: Convert to fraction form
   15,882/34,586 = 34,586/x
3. Step 3: Cross multiply
   15,882x = 34,586 × 34,586
4. Step 4: Simplify right side
   15,882x = 1,196,191,396
5. Step 5: Solve for x
   x = 1,196,191,396/15,882
6. Step 6: Final answer
   x = 75,317.43