Finding the Third Proportional to 8,323.59 and 17,706.52

Step by Step Solution

1. Step 1: Write the proportion equation
   8,323.59 : 17,706.52 = 17,706.52 : x
2. Step 2: Convert to fraction form
   8,323.59/17,706.52 = 17,706.52/x
3. Step 3: Cross multiply
   8,323.59x = 17,706.52 × 17,706.52
4. Step 4: Simplify right side
   8,323.59x = 313,520,695.58
5. Step 5: Solve for x
   x = 313,520,695.58/8,323.59
6. Step 6: Final answer
   x = 37,666.51