Finding the Third Proportional to 31,356 and 67,816

Step by Step Solution

1. Step 1: Write the proportion equation
   31,356 : 67,816 = 67,816 : x
2. Step 2: Convert to fraction form
   31,356/67,816 = 67,816/x
3. Step 3: Cross multiply
   31,356x = 67,816 × 67,816
4. Step 4: Simplify right side
   31,356x = 4,599,009,856
5. Step 5: Solve for x
   x = 4,599,009,856/31,356
6. Step 6: Final answer
   x = 146,670.81