Finding the Third Proportional to 1,185 and 1,861.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185 : 1,861.50 = 1,861.50 : x
2. Step 2: Convert to fraction form
   1,185/1,861.50 = 1,861.50/x
3. Step 3: Cross multiply
   1,185x = 1,861.50 × 1,861.50
4. Step 4: Simplify right side
   1,185x = 3,465,182.25
5. Step 5: Solve for x
   x = 3,465,182.25/1,185
6. Step 6: Final answer
   x = 2,924.20