Finding the Third Proportional to 23,776 and 52,064

Step by Step Solution

1. Step 1: Write the proportion equation
   23,776 : 52,064 = 52,064 : x
2. Step 2: Convert to fraction form
   23,776/52,064 = 52,064/x
3. Step 3: Cross multiply
   23,776x = 52,064 × 52,064
4. Step 4: Simplify right side
   23,776x = 2,710,660,096
5. Step 5: Solve for x
   x = 2,710,660,096/23,776
6. Step 6: Final answer
   x = 114,008.25