Finding the Third Proportional to 10,074 and 23,745

Step by Step Solution

1. Step 1: Write the proportion equation
   10,074 : 23,745 = 23,745 : x
2. Step 2: Convert to fraction form
   10,074/23,745 = 23,745/x
3. Step 3: Cross multiply
   10,074x = 23,745 × 23,745
4. Step 4: Simplify right side
   10,074x = 563,825,025
5. Step 5: Solve for x
   x = 563,825,025/10,074
6. Step 6: Final answer
   x = 55,968.34