Finding the Third Proportional to 17,704 and 38,536

Step by Step Solution

1. Step 1: Write the proportion equation
   17,704 : 38,536 = 38,536 : x
2. Step 2: Convert to fraction form
   17,704/38,536 = 38,536/x
3. Step 3: Cross multiply
   17,704x = 38,536 × 38,536
4. Step 4: Simplify right side
   17,704x = 1,485,023,296
5. Step 5: Solve for x
   x = 1,485,023,296/17,704
6. Step 6: Final answer
   x = 83,880.67