Finding the Third Proportional to 761.34 and 1,141.59

Step by Step Solution

1. Step 1: Write the proportion equation
   761.34 : 1,141.59 = 1,141.59 : x
2. Step 2: Convert to fraction form
   761.34/1,141.59 = 1,141.59/x
3. Step 3: Cross multiply
   761.34x = 1,141.59 × 1,141.59
4. Step 4: Simplify right side
   761.34x = 1,303,236.29
5. Step 5: Solve for x
   x = 1,303,236.29/761.34
6. Step 6: Final answer
   x = 1,711.76