Finding the Third Proportional to 19,714 and 31,210

Step by Step Solution

1. Step 1: Write the proportion equation
   19,714 : 31,210 = 31,210 : x
2. Step 2: Convert to fraction form
   19,714/31,210 = 31,210/x
3. Step 3: Cross multiply
   19,714x = 31,210 × 31,210
4. Step 4: Simplify right side
   19,714x = 974,064,100
5. Step 5: Solve for x
   x = 974,064,100/19,714
6. Step 6: Final answer
   x = 49,409.76