Finding the Third Proportional to 1,937 and 3,003.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,937 : 3,003.50 = 3,003.50 : x
2. Step 2: Convert to fraction form
   1,937/3,003.50 = 3,003.50/x
3. Step 3: Cross multiply
   1,937x = 3,003.50 × 3,003.50
4. Step 4: Simplify right side
   1,937x = 9,021,012.25
5. Step 5: Solve for x
   x = 9,021,012.25/1,937
6. Step 6: Final answer
   x = 4,657.21