Finding the Third Proportional to 10,836 and 23,776

Step by Step Solution

1. Step 1: Write the proportion equation
   10,836 : 23,776 = 23,776 : x
2. Step 2: Convert to fraction form
   10,836/23,776 = 23,776/x
3. Step 3: Cross multiply
   10,836x = 23,776 × 23,776
4. Step 4: Simplify right side
   10,836x = 565,298,176
5. Step 5: Solve for x
   x = 565,298,176/10,836
6. Step 6: Final answer
   x = 52,168.53