Finding the Third Proportional to 3,018.50 and 4,802.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,018.50 : 4,802.50 = 4,802.50 : x
2. Step 2: Convert to fraction form
   3,018.50/4,802.50 = 4,802.50/x
3. Step 3: Cross multiply
   3,018.50x = 4,802.50 × 4,802.50
4. Step 4: Simplify right side
   3,018.50x = 23,064,006.25
5. Step 5: Solve for x
   x = 23,064,006.25/3,018.50
6. Step 6: Final answer
   x = 7,640.88