Finding the Third Proportional to 10,130 and 23,566

Step by Step Solution

1. Step 1: Write the proportion equation
   10,130 : 23,566 = 23,566 : x
2. Step 2: Convert to fraction form
   10,130/23,566 = 23,566/x
3. Step 3: Cross multiply
   10,130x = 23,566 × 23,566
4. Step 4: Simplify right side
   10,130x = 555,356,356
5. Step 5: Solve for x
   x = 555,356,356/10,130
6. Step 6: Final answer
   x = 54,822.94