Finding the Third Proportional to 10,900 and 23,527

Step by Step Solution

1. Step 1: Write the proportion equation
   10,900 : 23,527 = 23,527 : x
2. Step 2: Convert to fraction form
   10,900/23,527 = 23,527/x
3. Step 3: Cross multiply
   10,900x = 23,527 × 23,527
4. Step 4: Simplify right side
   10,900x = 553,519,729
5. Step 5: Solve for x
   x = 553,519,729/10,900
6. Step 6: Final answer
   x = 50,781.63