Finding the Third Proportional to 1,501.50 and 1,633

Step by Step Solution

1. Step 1: Write the proportion equation
   1,501.50 : 1,633 = 1,633 : x
2. Step 2: Convert to fraction form
   1,501.50/1,633 = 1,633/x
3. Step 3: Cross multiply
   1,501.50x = 1,633 × 1,633
4. Step 4: Simplify right side
   1,501.50x = 2,666,689
5. Step 5: Solve for x
   x = 2,666,689/1,501.50
6. Step 6: Final answer
   x = 1,776.02