Finding the Third Proportional to 7,078.50 and 14,731.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,078.50 : 14,731.50 = 14,731.50 : x
2. Step 2: Convert to fraction form
   7,078.50/14,731.50 = 14,731.50/x
3. Step 3: Cross multiply
   7,078.50x = 14,731.50 × 14,731.50
4. Step 4: Simplify right side
   7,078.50x = 217,017,092.25
5. Step 5: Solve for x
   x = 217,017,092.25/7,078.50
6. Step 6: Final answer
   x = 30,658.63