Finding the Third Proportional to 1,174 and 1,832.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,174 : 1,832.50 = 1,832.50 : x
2. Step 2: Convert to fraction form
   1,174/1,832.50 = 1,832.50/x
3. Step 3: Cross multiply
   1,174x = 1,832.50 × 1,832.50
4. Step 4: Simplify right side
   1,174x = 3,358,056.25
5. Step 5: Solve for x
   x = 3,358,056.25/1,174
6. Step 6: Final answer
   x = 2,860.35