Finding the Third Proportional to 10,666.13 and 17,038.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,666.13 : 17,038.69 = 17,038.69 : x
2. Step 2: Convert to fraction form
   10,666.13/17,038.69 = 17,038.69/x
3. Step 3: Cross multiply
   10,666.13x = 17,038.69 × 17,038.69
4. Step 4: Simplify right side
   10,666.13x = 290,316,871.72
5. Step 5: Solve for x
   x = 290,316,871.72/10,666.13
6. Step 6: Final answer
   x = 27,218.59