Finding the Third Proportional to 1,815.75 and 3,772.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,815.75 : 3,772.50 = 3,772.50 : x
2. Step 2: Convert to fraction form
   1,815.75/3,772.50 = 3,772.50/x
3. Step 3: Cross multiply
   1,815.75x = 3,772.50 × 3,772.50
4. Step 4: Simplify right side
   1,815.75x = 14,231,756.25
5. Step 5: Solve for x
   x = 14,231,756.25/1,815.75
6. Step 6: Final answer
   x = 7,837.95