Finding the Third Proportional to 10,300 and 22,153

Step by Step Solution

1. Step 1: Write the proportion equation
   10,300 : 22,153 = 22,153 : x
2. Step 2: Convert to fraction form
   10,300/22,153 = 22,153/x
3. Step 3: Cross multiply
   10,300x = 22,153 × 22,153
4. Step 4: Simplify right side
   10,300x = 490,755,409
5. Step 5: Solve for x
   x = 490,755,409/10,300
6. Step 6: Final answer
   x = 47,646.16