Finding the Third Proportional to 10,371.38 and 15,584.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,371.38 : 15,584.06 = 15,584.06 : x
2. Step 2: Convert to fraction form
   10,371.38/15,584.06 = 15,584.06/x
3. Step 3: Cross multiply
   10,371.38x = 15,584.06 × 15,584.06
4. Step 4: Simplify right side
   10,371.38x = 242,863,004.00
5. Step 5: Solve for x
   x = 242,863,004.00/10,371.38
6. Step 6: Final answer
   x = 23,416.66