Finding the Third Proportional to 1,174 and 2,118.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,174 : 2,118.50 = 2,118.50 : x
2. Step 2: Convert to fraction form
   1,174/2,118.50 = 2,118.50/x
3. Step 3: Cross multiply
   1,174x = 2,118.50 × 2,118.50
4. Step 4: Simplify right side
   1,174x = 4,488,042.25
5. Step 5: Solve for x
   x = 4,488,042.25/1,174
6. Step 6: Final answer
   x = 3,822.86