Finding the Third Proportional to 10,156 and 16,070

Step by Step Solution

1. Step 1: Write the proportion equation
   10,156 : 16,070 = 16,070 : x
2. Step 2: Convert to fraction form
   10,156/16,070 = 16,070/x
3. Step 3: Cross multiply
   10,156x = 16,070 × 16,070
4. Step 4: Simplify right side
   10,156x = 258,244,900
5. Step 5: Solve for x
   x = 258,244,900/10,156
6. Step 6: Final answer
   x = 25,427.82