Finding the Third Proportional to 752.34 and 1,126.69

Step by Step Solution

1. Step 1: Write the proportion equation
   752.34 : 1,126.69 = 1,126.69 : x
2. Step 2: Convert to fraction form
   752.34/1,126.69 = 1,126.69/x
3. Step 3: Cross multiply
   752.34x = 1,126.69 × 1,126.69
4. Step 4: Simplify right side
   752.34x = 1,269,424.72
5. Step 5: Solve for x
   x = 1,269,424.72/752.34
6. Step 6: Final answer
   x = 1,687.29