Finding the Third Proportional to 1,153 and 1,763.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,153 : 1,763.50 = 1,763.50 : x
2. Step 2: Convert to fraction form
   1,153/1,763.50 = 1,763.50/x
3. Step 3: Cross multiply
   1,153x = 1,763.50 × 1,763.50
4. Step 4: Simplify right side
   1,153x = 3,109,932.25
5. Step 5: Solve for x
   x = 3,109,932.25/1,153
6. Step 6: Final answer
   x = 2,697.25