Finding the Third Proportional to 1,158.19 and 1,816.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,158.19 : 1,816.31 = 1,816.31 : x
2. Step 2: Convert to fraction form
   1,158.19/1,816.31 = 1,816.31/x
3. Step 3: Cross multiply
   1,158.19x = 1,816.31 × 1,816.31
4. Step 4: Simplify right side
   1,158.19x = 3,298,991.10
5. Step 5: Solve for x
   x = 3,298,991.10/1,158.19
6. Step 6: Final answer
   x = 2,848.41