Finding the Third Proportional to 10,056 and 23,778

Step by Step Solution

1. Step 1: Write the proportion equation
   10,056 : 23,778 = 23,778 : x
2. Step 2: Convert to fraction form
   10,056/23,778 = 23,778/x
3. Step 3: Cross multiply
   10,056x = 23,778 × 23,778
4. Step 4: Simplify right side
   10,056x = 565,393,284
5. Step 5: Solve for x
   x = 565,393,284/10,056
6. Step 6: Final answer
   x = 56,224.47