Finding the Third Proportional to 19,740 and 31,410

Step by Step Solution

1. Step 1: Write the proportion equation
   19,740 : 31,410 = 31,410 : x
2. Step 2: Convert to fraction form
   19,740/31,410 = 31,410/x
3. Step 3: Cross multiply
   19,740x = 31,410 × 31,410
4. Step 4: Simplify right side
   19,740x = 986,588,100
5. Step 5: Solve for x
   x = 986,588,100/19,740
6. Step 6: Final answer
   x = 49,979.13