Finding the Third Proportional to 1,202 and 1,795.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,202 : 1,795.50 = 1,795.50 : x
2. Step 2: Convert to fraction form
   1,202/1,795.50 = 1,795.50/x
3. Step 3: Cross multiply
   1,202x = 1,795.50 × 1,795.50
4. Step 4: Simplify right side
   1,202x = 3,223,820.25
5. Step 5: Solve for x
   x = 3,223,820.25/1,202
6. Step 6: Final answer
   x = 2,682.05