Finding the Third Proportional to 1,172 and 1,264

Step by Step Solution

1. Step 1: Write the proportion equation
   1,172 : 1,264 = 1,264 : x
2. Step 2: Convert to fraction form
   1,172/1,264 = 1,264/x
3. Step 3: Cross multiply
   1,172x = 1,264 × 1,264
4. Step 4: Simplify right side
   1,172x = 1,597,696
5. Step 5: Solve for x
   x = 1,597,696/1,172
6. Step 6: Final answer
   x = 1,363.22