Finding the Third Proportional to 2,370 and 5,003.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,370 : 5,003.50 = 5,003.50 : x
2. Step 2: Convert to fraction form
   2,370/5,003.50 = 5,003.50/x
3. Step 3: Cross multiply
   2,370x = 5,003.50 × 5,003.50
4. Step 4: Simplify right side
   2,370x = 25,035,012.25
5. Step 5: Solve for x
   x = 25,035,012.25/2,370
6. Step 6: Final answer
   x = 10,563.30