Finding the Third Proportional to 31,780 and 60,668

Step by Step Solution

1. Step 1: Write the proportion equation
   31,780 : 60,668 = 60,668 : x
2. Step 2: Convert to fraction form
   31,780/60,668 = 60,668/x
3. Step 3: Cross multiply
   31,780x = 60,668 × 60,668
4. Step 4: Simplify right side
   31,780x = 3,680,606,224
5. Step 5: Solve for x
   x = 3,680,606,224/31,780
6. Step 6: Final answer
   x = 115,815.17