Finding the Third Proportional to 760.50 and 780.75

Step by Step Solution

1. Step 1: Write the proportion equation
   760.50 : 780.75 = 780.75 : x
2. Step 2: Convert to fraction form
   760.50/780.75 = 780.75/x
3. Step 3: Cross multiply
   760.50x = 780.75 × 780.75
4. Step 4: Simplify right side
   760.50x = 609,570.56
5. Step 5: Solve for x
   x = 609,570.56/760.50
6. Step 6: Final answer
   x = 801.54