Finding the Third Proportional to 16,984 and 37,412

Step by Step Solution

1. Step 1: Write the proportion equation
   16,984 : 37,412 = 37,412 : x
2. Step 2: Convert to fraction form
   16,984/37,412 = 37,412/x
3. Step 3: Cross multiply
   16,984x = 37,412 × 37,412
4. Step 4: Simplify right side
   16,984x = 1,399,657,744
5. Step 5: Solve for x
   x = 1,399,657,744/16,984
6. Step 6: Final answer
   x = 82,410.37