Finding the Third Proportional to 770.72 and 1,151.53

Step by Step Solution

1. Step 1: Write the proportion equation
   770.72 : 1,151.53 = 1,151.53 : x
2. Step 2: Convert to fraction form
   770.72/1,151.53 = 1,151.53/x
3. Step 3: Cross multiply
   770.72x = 1,151.53 × 1,151.53
4. Step 4: Simplify right side
   770.72x = 1,326,024.22
5. Step 5: Solve for x
   x = 1,326,024.22/770.72
6. Step 6: Final answer
   x = 1,720.50