Finding the Third Proportional to 6,784.50 and 10,307.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,784.50 : 10,307.50 = 10,307.50 : x
2. Step 2: Convert to fraction form
   6,784.50/10,307.50 = 10,307.50/x
3. Step 3: Cross multiply
   6,784.50x = 10,307.50 × 10,307.50
4. Step 4: Simplify right side
   6,784.50x = 106,244,556.25
5. Step 5: Solve for x
   x = 106,244,556.25/6,784.50
6. Step 6: Final answer
   x = 15,659.89