Finding the Third Proportional to 9,784.55 and 13,987.69

Step by Step Solution

1. Step 1: Write the proportion equation
   9,784.55 : 13,987.69 = 13,987.69 : x
2. Step 2: Convert to fraction form
   9,784.55/13,987.69 = 13,987.69/x
3. Step 3: Cross multiply
   9,784.55x = 13,987.69 × 13,987.69
4. Step 4: Simplify right side
   9,784.55x = 195,655,401.60
5. Step 5: Solve for x
   x = 195,655,401.60/9,784.55
6. Step 6: Final answer
   x = 19,996.37