Finding the Third Proportional to 10,235 and 22,090

Step by Step Solution

1. Step 1: Write the proportion equation
   10,235 : 22,090 = 22,090 : x
2. Step 2: Convert to fraction form
   10,235/22,090 = 22,090/x
3. Step 3: Cross multiply
   10,235x = 22,090 × 22,090
4. Step 4: Simplify right side
   10,235x = 487,968,100
5. Step 5: Solve for x
   x = 487,968,100/10,235
6. Step 6: Final answer
   x = 47,676.41