Finding the Third Proportional to 10,199 and 21,506

Step by Step Solution

1. Step 1: Write the proportion equation
   10,199 : 21,506 = 21,506 : x
2. Step 2: Convert to fraction form
   10,199/21,506 = 21,506/x
3. Step 3: Cross multiply
   10,199x = 21,506 × 21,506
4. Step 4: Simplify right side
   10,199x = 462,508,036
5. Step 5: Solve for x
   x = 462,508,036/10,199
6. Step 6: Final answer
   x = 45,348.37