Finding the Third Proportional to 17,720 and 37,984

Step by Step Solution

1. Step 1: Write the proportion equation
   17,720 : 37,984 = 37,984 : x
2. Step 2: Convert to fraction form
   17,720/37,984 = 37,984/x
3. Step 3: Cross multiply
   17,720x = 37,984 × 37,984
4. Step 4: Simplify right side
   17,720x = 1,442,784,256
5. Step 5: Solve for x
   x = 1,442,784,256/17,720
6. Step 6: Final answer
   x = 81,421.23