Finding the Third Proportional to 1,765.13 and 3,748.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,765.13 : 3,748.78 = 3,748.78 : x
2. Step 2: Convert to fraction form
   1,765.13/3,748.78 = 3,748.78/x
3. Step 3: Cross multiply
   1,765.13x = 3,748.78 × 3,748.78
4. Step 4: Simplify right side
   1,765.13x = 14,053,360.86
5. Step 5: Solve for x
   x = 14,053,360.86/1,765.13
6. Step 6: Final answer
   x = 7,961.68