Finding the Third Proportional to 9,159 and 19,613.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,159 : 19,613.50 = 19,613.50 : x
2. Step 2: Convert to fraction form
   9,159/19,613.50 = 19,613.50/x
3. Step 3: Cross multiply
   9,159x = 19,613.50 × 19,613.50
4. Step 4: Simplify right side
   9,159x = 384,689,382.25
5. Step 5: Solve for x
   x = 384,689,382.25/9,159
6. Step 6: Final answer
   x = 42,001.24