Finding the Third Proportional to 19,666 and 31,154

Step by Step Solution

1. Step 1: Write the proportion equation
   19,666 : 31,154 = 31,154 : x
2. Step 2: Convert to fraction form
   19,666/31,154 = 31,154/x
3. Step 3: Cross multiply
   19,666x = 31,154 × 31,154
4. Step 4: Simplify right side
   19,666x = 970,571,716
5. Step 5: Solve for x
   x = 970,571,716/19,666
6. Step 6: Final answer
   x = 49,352.78