Finding the Third Proportional to 31,616 and 68,158

Step by Step Solution

1. Step 1: Write the proportion equation
   31,616 : 68,158 = 68,158 : x
2. Step 2: Convert to fraction form
   31,616/68,158 = 68,158/x
3. Step 3: Cross multiply
   31,616x = 68,158 × 68,158
4. Step 4: Simplify right side
   31,616x = 4,645,512,964
5. Step 5: Solve for x
   x = 4,645,512,964/31,616
6. Step 6: Final answer
   x = 146,935.51