Finding the Third Proportional to 667.50 and 1,407

Step by Step Solution

1. Step 1: Write the proportion equation
   667.50 : 1,407 = 1,407 : x
2. Step 2: Convert to fraction form
   667.50/1,407 = 1,407/x
3. Step 3: Cross multiply
   667.50x = 1,407 × 1,407
4. Step 4: Simplify right side
   667.50x = 1,979,649
5. Step 5: Solve for x
   x = 1,979,649/667.50
6. Step 6: Final answer
   x = 2,965.77