Finding the Third Proportional to 31,688 and 47,288

Step by Step Solution

1. Step 1: Write the proportion equation
   31,688 : 47,288 = 47,288 : x
2. Step 2: Convert to fraction form
   31,688/47,288 = 47,288/x
3. Step 3: Cross multiply
   31,688x = 47,288 × 47,288
4. Step 4: Simplify right side
   31,688x = 2,236,154,944
5. Step 5: Solve for x
   x = 2,236,154,944/31,688
6. Step 6: Final answer
   x = 70,567.88