Finding the Third Proportional to 31,912 and 68,168

Step by Step Solution

1. Step 1: Write the proportion equation
   31,912 : 68,168 = 68,168 : x
2. Step 2: Convert to fraction form
   31,912/68,168 = 68,168/x
3. Step 3: Cross multiply
   31,912x = 68,168 × 68,168
4. Step 4: Simplify right side
   31,912x = 4,646,876,224
5. Step 5: Solve for x
   x = 4,646,876,224/31,912
6. Step 6: Final answer
   x = 145,615.32