Finding the Third Proportional to 464 and 1,001.50

Step by Step Solution

1. Step 1: Write the proportion equation
   464 : 1,001.50 = 1,001.50 : x
2. Step 2: Convert to fraction form
   464/1,001.50 = 1,001.50/x
3. Step 3: Cross multiply
   464x = 1,001.50 × 1,001.50
4. Step 4: Simplify right side
   464x = 1,003,002.25
5. Step 5: Solve for x
   x = 1,003,002.25/464
6. Step 6: Final answer
   x = 2,161.64