Finding the Third Proportional to 1,177.69 and 1,858.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,177.69 : 1,858.31 = 1,858.31 : x
2. Step 2: Convert to fraction form
   1,177.69/1,858.31 = 1,858.31/x
3. Step 3: Cross multiply
   1,177.69x = 1,858.31 × 1,858.31
4. Step 4: Simplify right side
   1,177.69x = 3,453,325.35
5. Step 5: Solve for x
   x = 3,453,325.35/1,177.69
6. Step 6: Final answer
   x = 2,932.29