Finding the Third Proportional to 775.50 and 1,046

Step by Step Solution

1. Step 1: Write the proportion equation
   775.50 : 1,046 = 1,046 : x
2. Step 2: Convert to fraction form
   775.50/1,046 = 1,046/x
3. Step 3: Cross multiply
   775.50x = 1,046 × 1,046
4. Step 4: Simplify right side
   775.50x = 1,094,116
5. Step 5: Solve for x
   x = 1,094,116/775.50
6. Step 6: Final answer
   x = 1,410.85