Finding the Third Proportional to 772.88 and 1,010.81

Step by Step Solution

1. Step 1: Write the proportion equation
   772.88 : 1,010.81 = 1,010.81 : x
2. Step 2: Convert to fraction form
   772.88/1,010.81 = 1,010.81/x
3. Step 3: Cross multiply
   772.88x = 1,010.81 × 1,010.81
4. Step 4: Simplify right side
   772.88x = 1,021,741.91
5. Step 5: Solve for x
   x = 1,021,741.91/772.88
6. Step 6: Final answer
   x = 1,322.00