Finding the Third Proportional to 9,159 and 17,588.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,159 : 17,588.50 = 17,588.50 : x
2. Step 2: Convert to fraction form
   9,159/17,588.50 = 17,588.50/x
3. Step 3: Cross multiply
   9,159x = 17,588.50 × 17,588.50
4. Step 4: Simplify right side
   9,159x = 309,355,332.25
5. Step 5: Solve for x
   x = 309,355,332.25/9,159
6. Step 6: Final answer
   x = 33,776.10