Finding the Third Proportional to 31,688 and 47,436

Step by Step Solution

1. Step 1: Write the proportion equation
   31,688 : 47,436 = 47,436 : x
2. Step 2: Convert to fraction form
   31,688/47,436 = 47,436/x
3. Step 3: Cross multiply
   31,688x = 47,436 × 47,436
4. Step 4: Simplify right side
   31,688x = 2,250,174,096
5. Step 5: Solve for x
   x = 2,250,174,096/31,688
6. Step 6: Final answer
   x = 71,010.29