Finding the Third Proportional to 1,822.50 and 3,802.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,822.50 : 3,802.50 = 3,802.50 : x
2. Step 2: Convert to fraction form
   1,822.50/3,802.50 = 3,802.50/x
3. Step 3: Cross multiply
   1,822.50x = 3,802.50 × 3,802.50
4. Step 4: Simplify right side
   1,822.50x = 14,459,006.25
5. Step 5: Solve for x
   x = 14,459,006.25/1,822.50
6. Step 6: Final answer
   x = 7,933.61