Finding the Third Proportional to 10,412 and 22,550

Step by Step Solution

1. Step 1: Write the proportion equation
   10,412 : 22,550 = 22,550 : x
2. Step 2: Convert to fraction form
   10,412/22,550 = 22,550/x
3. Step 3: Cross multiply
   10,412x = 22,550 × 22,550
4. Step 4: Simplify right side
   10,412x = 508,502,500
5. Step 5: Solve for x
   x = 508,502,500/10,412
6. Step 6: Final answer
   x = 48,838.12