Finding the Third Proportional to 19,688 and 31,172

Step by Step Solution

1. Step 1: Write the proportion equation
   19,688 : 31,172 = 31,172 : x
2. Step 2: Convert to fraction form
   19,688/31,172 = 31,172/x
3. Step 3: Cross multiply
   19,688x = 31,172 × 31,172
4. Step 4: Simplify right side
   19,688x = 971,693,584
5. Step 5: Solve for x
   x = 971,693,584/19,688
6. Step 6: Final answer
   x = 49,354.61