Finding the Third Proportional to 15,594 and 34,166

Step by Step Solution

1. Step 1: Write the proportion equation
   15,594 : 34,166 = 34,166 : x
2. Step 2: Convert to fraction form
   15,594/34,166 = 34,166/x
3. Step 3: Cross multiply
   15,594x = 34,166 × 34,166
4. Step 4: Simplify right side
   15,594x = 1,167,315,556
5. Step 5: Solve for x
   x = 1,167,315,556/15,594
6. Step 6: Final answer
   x = 74,856.71