Finding the Third Proportional to 10,502.50 and 21,842

Step by Step Solution

1. Step 1: Write the proportion equation
   10,502.50 : 21,842 = 21,842 : x
2. Step 2: Convert to fraction form
   10,502.50/21,842 = 21,842/x
3. Step 3: Cross multiply
   10,502.50x = 21,842 × 21,842
4. Step 4: Simplify right side
   10,502.50x = 477,072,964
5. Step 5: Solve for x
   x = 477,072,964/10,502.50
6. Step 6: Final answer
   x = 45,424.70