Finding the Third Proportional to 667.50 and 1,463.58

Step by Step Solution

1. Step 1: Write the proportion equation
   667.50 : 1,463.58 = 1,463.58 : x
2. Step 2: Convert to fraction form
   667.50/1,463.58 = 1,463.58/x
3. Step 3: Cross multiply
   667.50x = 1,463.58 × 1,463.58
4. Step 4: Simplify right side
   667.50x = 2,142,056.64
5. Step 5: Solve for x
   x = 2,142,056.64/667.50
6. Step 6: Final answer
   x = 3,209.08