Finding the Third Proportional to 765 and 1,156.50

Step by Step Solution

1. Step 1: Write the proportion equation
   765 : 1,156.50 = 1,156.50 : x
2. Step 2: Convert to fraction form
   765/1,156.50 = 1,156.50/x
3. Step 3: Cross multiply
   765x = 1,156.50 × 1,156.50
4. Step 4: Simplify right side
   765x = 1,337,492.25
5. Step 5: Solve for x
   x = 1,337,492.25/765
6. Step 6: Final answer
   x = 1,748.36