Finding the Third Proportional to 1,851.25 and 3,807.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,851.25 : 3,807.25 = 3,807.25 : x
2. Step 2: Convert to fraction form
   1,851.25/3,807.25 = 3,807.25/x
3. Step 3: Cross multiply
   1,851.25x = 3,807.25 × 3,807.25
4. Step 4: Simplify right side
   1,851.25x = 14,495,152.56
5. Step 5: Solve for x
   x = 14,495,152.56/1,851.25
6. Step 6: Final answer
   x = 7,829.93