Finding the Third Proportional to 1,816.31 and 3,851.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,816.31 : 3,851.06 = 3,851.06 : x
2. Step 2: Convert to fraction form
   1,816.31/3,851.06 = 3,851.06/x
3. Step 3: Cross multiply
   1,816.31x = 3,851.06 × 3,851.06
4. Step 4: Simplify right side
   1,816.31x = 14,830,682.38
5. Step 5: Solve for x
   x = 14,830,682.38/1,816.31
6. Step 6: Final answer
   x = 8,165.27