Finding the Third Proportional to 12,310 and 19,662

Step by Step Solution

1. Step 1: Write the proportion equation
   12,310 : 19,662 = 19,662 : x
2. Step 2: Convert to fraction form
   12,310/19,662 = 19,662/x
3. Step 3: Cross multiply
   12,310x = 19,662 × 19,662
4. Step 4: Simplify right side
   12,310x = 386,594,244
5. Step 5: Solve for x
   x = 386,594,244/12,310
6. Step 6: Final answer
   x = 31,404.89