Finding the Third Proportional to 6,142.50 and 8,984.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,142.50 : 8,984.25 = 8,984.25 : x
2. Step 2: Convert to fraction form
   6,142.50/8,984.25 = 8,984.25/x
3. Step 3: Cross multiply
   6,142.50x = 8,984.25 × 8,984.25
4. Step 4: Simplify right side
   6,142.50x = 80,716,748.06
5. Step 5: Solve for x
   x = 80,716,748.06/6,142.50
6. Step 6: Final answer
   x = 13,140.70