Finding the Third Proportional to 16,214 and 25,052

Step by Step Solution

1. Step 1: Write the proportion equation
   16,214 : 25,052 = 25,052 : x
2. Step 2: Convert to fraction form
   16,214/25,052 = 25,052/x
3. Step 3: Cross multiply
   16,214x = 25,052 × 25,052
4. Step 4: Simplify right side
   16,214x = 627,602,704
5. Step 5: Solve for x
   x = 627,602,704/16,214
6. Step 6: Final answer
   x = 38,707.46