Finding the Third Proportional to 4,669.31 and 10,261.69

Step by Step Solution

1. Step 1: Write the proportion equation
   4,669.31 : 10,261.69 = 10,261.69 : x
2. Step 2: Convert to fraction form
   4,669.31/10,261.69 = 10,261.69/x
3. Step 3: Cross multiply
   4,669.31x = 10,261.69 × 10,261.69
4. Step 4: Simplify right side
   4,669.31x = 105,302,230.35
5. Step 5: Solve for x
   x = 105,302,230.35/4,669.31
6. Step 6: Final answer
   x = 22,551.98