Finding the Third Proportional to 15,916 and 37,166

Step by Step Solution

1. Step 1: Write the proportion equation
   15,916 : 37,166 = 37,166 : x
2. Step 2: Convert to fraction form
   15,916/37,166 = 37,166/x
3. Step 3: Cross multiply
   15,916x = 37,166 × 37,166
4. Step 4: Simplify right side
   15,916x = 1,381,311,556
5. Step 5: Solve for x
   x = 1,381,311,556/15,916
6. Step 6: Final answer
   x = 86,787.61