Finding the Third Proportional to 9,158 and 17,586.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,158 : 17,586.50 = 17,586.50 : x
2. Step 2: Convert to fraction form
   9,158/17,586.50 = 17,586.50/x
3. Step 3: Cross multiply
   9,158x = 17,586.50 × 17,586.50
4. Step 4: Simplify right side
   9,158x = 309,284,982.25
5. Step 5: Solve for x
   x = 309,284,982.25/9,158
6. Step 6: Final answer
   x = 33,772.11