Finding the Third Proportional to 1,066 and 1,156

Step by Step Solution

1. Step 1: Write the proportion equation
   1,066 : 1,156 = 1,156 : x
2. Step 2: Convert to fraction form
   1,066/1,156 = 1,156/x
3. Step 3: Cross multiply
   1,066x = 1,156 × 1,156
4. Step 4: Simplify right side
   1,066x = 1,336,336
5. Step 5: Solve for x
   x = 1,336,336/1,066
6. Step 6: Final answer
   x = 1,253.60