Finding the Third Proportional to 10,254 and 22,361

Step by Step Solution

1. Step 1: Write the proportion equation
   10,254 : 22,361 = 22,361 : x
2. Step 2: Convert to fraction form
   10,254/22,361 = 22,361/x
3. Step 3: Cross multiply
   10,254x = 22,361 × 22,361
4. Step 4: Simplify right side
   10,254x = 500,014,321
5. Step 5: Solve for x
   x = 500,014,321/10,254
6. Step 6: Final answer
   x = 48,762.86