Finding the Third Proportional to 11,693.81 and 18,002.06

Step by Step Solution

1. Step 1: Write the proportion equation
   11,693.81 : 18,002.06 = 18,002.06 : x
2. Step 2: Convert to fraction form
   11,693.81/18,002.06 = 18,002.06/x
3. Step 3: Cross multiply
   11,693.81x = 18,002.06 × 18,002.06
4. Step 4: Simplify right side
   11,693.81x = 324,074,254.25
5. Step 5: Solve for x
   x = 324,074,254.25/11,693.81
6. Step 6: Final answer
   x = 27,713.31