Finding the Third Proportional to 6,986.25 and 15,526.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,986.25 : 15,526.69 = 15,526.69 : x
2. Step 2: Convert to fraction form
   6,986.25/15,526.69 = 15,526.69/x
3. Step 3: Cross multiply
   6,986.25x = 15,526.69 × 15,526.69
4. Step 4: Simplify right side
   6,986.25x = 241,078,024.72
5. Step 5: Solve for x
   x = 241,078,024.72/6,986.25
6. Step 6: Final answer
   x = 34,507.50