Finding the Third Proportional to 31,616 and 68,152

Step by Step Solution

1. Step 1: Write the proportion equation
   31,616 : 68,152 = 68,152 : x
2. Step 2: Convert to fraction form
   31,616/68,152 = 68,152/x
3. Step 3: Cross multiply
   31,616x = 68,152 × 68,152
4. Step 4: Simplify right side
   31,616x = 4,644,695,104
5. Step 5: Solve for x
   x = 4,644,695,104/31,616
6. Step 6: Final answer
   x = 146,909.64