Finding the Third Proportional to 7,146.56 and 15,584.06

Step by Step Solution

1. Step 1: Write the proportion equation
   7,146.56 : 15,584.06 = 15,584.06 : x
2. Step 2: Convert to fraction form
   7,146.56/15,584.06 = 15,584.06/x
3. Step 3: Cross multiply
   7,146.56x = 15,584.06 × 15,584.06
4. Step 4: Simplify right side
   7,146.56x = 242,863,004.00
5. Step 5: Solve for x
   x = 242,863,004.00/7,146.56
6. Step 6: Final answer
   x = 33,983.19