Finding the Third Proportional to 19,396 and 31,164

Step by Step Solution

1. Step 1: Write the proportion equation
   19,396 : 31,164 = 31,164 : x
2. Step 2: Convert to fraction form
   19,396/31,164 = 31,164/x
3. Step 3: Cross multiply
   19,396x = 31,164 × 31,164
4. Step 4: Simplify right side
   19,396x = 971,194,896
5. Step 5: Solve for x
   x = 971,194,896/19,396
6. Step 6: Final answer
   x = 50,071.92