Finding the Third Proportional to 7,002.50 and 9,801.75

Step by Step Solution

1. Step 1: Write the proportion equation
   7,002.50 : 9,801.75 = 9,801.75 : x
2. Step 2: Convert to fraction form
   7,002.50/9,801.75 = 9,801.75/x
3. Step 3: Cross multiply
   7,002.50x = 9,801.75 × 9,801.75
4. Step 4: Simplify right side
   7,002.50x = 96,074,303.06
5. Step 5: Solve for x
   x = 96,074,303.06/7,002.50
6. Step 6: Final answer
   x = 13,720.00