Finding the Third Proportional to 1,874.50 and 3,813.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,874.50 : 3,813.25 = 3,813.25 : x
2. Step 2: Convert to fraction form
   1,874.50/3,813.25 = 3,813.25/x
3. Step 3: Cross multiply
   1,874.50x = 3,813.25 × 3,813.25
4. Step 4: Simplify right side
   1,874.50x = 14,540,875.56
5. Step 5: Solve for x
   x = 14,540,875.56/1,874.50
6. Step 6: Final answer
   x = 7,757.20