Finding the Third Proportional to 17,534 and 37,984

Step by Step Solution

1. Step 1: Write the proportion equation
   17,534 : 37,984 = 37,984 : x
2. Step 2: Convert to fraction form
   17,534/37,984 = 37,984/x
3. Step 3: Cross multiply
   17,534x = 37,984 × 37,984
4. Step 4: Simplify right side
   17,534x = 1,442,784,256
5. Step 5: Solve for x
   x = 1,442,784,256/17,534
6. Step 6: Final answer
   x = 82,284.95