Finding the Third Proportional to 23,776 and 50,204.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,776 : 50,204.50 = 50,204.50 : x
2. Step 2: Convert to fraction form
   23,776/50,204.50 = 50,204.50/x
3. Step 3: Cross multiply
   23,776x = 50,204.50 × 50,204.50
4. Step 4: Simplify right side
   23,776x = 2,520,491,820.25
5. Step 5: Solve for x
   x = 2,520,491,820.25/23,776
6. Step 6: Final answer
   x = 106,009.92