Finding the Third Proportional to 31,506 and 68,736

Step by Step Solution

1. Step 1: Write the proportion equation
   31,506 : 68,736 = 68,736 : x
2. Step 2: Convert to fraction form
   31,506/68,736 = 68,736/x
3. Step 3: Cross multiply
   31,506x = 68,736 × 68,736
4. Step 4: Simplify right side
   31,506x = 4,724,637,696
5. Step 5: Solve for x
   x = 4,724,637,696/31,506
6. Step 6: Final answer
   x = 149,959.93