Finding the Third Proportional to 13,706 and 31,078

Step by Step Solution

1. Step 1: Write the proportion equation
   13,706 : 31,078 = 31,078 : x
2. Step 2: Convert to fraction form
   13,706/31,078 = 31,078/x
3. Step 3: Cross multiply
   13,706x = 31,078 × 31,078
4. Step 4: Simplify right side
   13,706x = 965,842,084
5. Step 5: Solve for x
   x = 965,842,084/13,706
6. Step 6: Final answer
   x = 70,468.56