Finding the Third Proportional to 4,172.50 and 6,498.25

Step by Step Solution

1. Step 1: Write the proportion equation
   4,172.50 : 6,498.25 = 6,498.25 : x
2. Step 2: Convert to fraction form
   4,172.50/6,498.25 = 6,498.25/x
3. Step 3: Cross multiply
   4,172.50x = 6,498.25 × 6,498.25
4. Step 4: Simplify right side
   4,172.50x = 42,227,253.06
5. Step 5: Solve for x
   x = 42,227,253.06/4,172.50
6. Step 6: Final answer
   x = 10,120.37