Finding the Third Proportional to 31,704 and 47,736

Step by Step Solution

1. Step 1: Write the proportion equation
   31,704 : 47,736 = 47,736 : x
2. Step 2: Convert to fraction form
   31,704/47,736 = 47,736/x
3. Step 3: Cross multiply
   31,704x = 47,736 × 47,736
4. Step 4: Simplify right side
   31,704x = 2,278,725,696
5. Step 5: Solve for x
   x = 2,278,725,696/31,704
6. Step 6: Final answer
   x = 71,875.02