Finding the Third Proportional to 667.13 and 1,046.63

Step by Step Solution

1. Step 1: Write the proportion equation
   667.13 : 1,046.63 = 1,046.63 : x
2. Step 2: Convert to fraction form
   667.13/1,046.63 = 1,046.63/x
3. Step 3: Cross multiply
   667.13x = 1,046.63 × 1,046.63
4. Step 4: Simplify right side
   667.13x = 1,095,423.89
5. Step 5: Solve for x
   x = 1,095,423.89/667.13
6. Step 6: Final answer
   x = 1,642.01