Finding the Third Proportional to 14,780 and 31,168

Step by Step Solution

1. Step 1: Write the proportion equation
   14,780 : 31,168 = 31,168 : x
2. Step 2: Convert to fraction form
   14,780/31,168 = 31,168/x
3. Step 3: Cross multiply
   14,780x = 31,168 × 31,168
4. Step 4: Simplify right side
   14,780x = 971,444,224
5. Step 5: Solve for x
   x = 971,444,224/14,780
6. Step 6: Final answer
   x = 65,726.94