Finding the Third Proportional to 1,193.50 and 1,856.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,193.50 : 1,856.50 = 1,856.50 : x
2. Step 2: Convert to fraction form
   1,193.50/1,856.50 = 1,856.50/x
3. Step 3: Cross multiply
   1,193.50x = 1,856.50 × 1,856.50
4. Step 4: Simplify right side
   1,193.50x = 3,446,592.25
5. Step 5: Solve for x
   x = 3,446,592.25/1,193.50
6. Step 6: Final answer
   x = 2,887.80