Finding the Third Proportional to 10,003.50 and 21,389.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,003.50 : 21,389.06 = 21,389.06 : x
2. Step 2: Convert to fraction form
   10,003.50/21,389.06 = 21,389.06/x
3. Step 3: Cross multiply
   10,003.50x = 21,389.06 × 21,389.06
4. Step 4: Simplify right side
   10,003.50x = 457,491,994.63
5. Step 5: Solve for x
   x = 457,491,994.63/10,003.50
6. Step 6: Final answer
   x = 45,733.19