Finding the Third Proportional to 10,930 and 23,588

Step by Step Solution

1. Step 1: Write the proportion equation
   10,930 : 23,588 = 23,588 : x
2. Step 2: Convert to fraction form
   10,930/23,588 = 23,588/x
3. Step 3: Cross multiply
   10,930x = 23,588 × 23,588
4. Step 4: Simplify right side
   10,930x = 556,393,744
5. Step 5: Solve for x
   x = 556,393,744/10,930
6. Step 6: Final answer
   x = 50,905.19