Finding the Third Proportional to 4,637.25 and 10,003.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,637.25 : 10,003.50 = 10,003.50 : x
2. Step 2: Convert to fraction form
   4,637.25/10,003.50 = 10,003.50/x
3. Step 3: Cross multiply
   4,637.25x = 10,003.50 × 10,003.50
4. Step 4: Simplify right side
   4,637.25x = 100,070,012.25
5. Step 5: Solve for x
   x = 100,070,012.25/4,637.25
6. Step 6: Final answer
   x = 21,579.60