Finding the Third Proportional to 13,556 and 31,658

Step by Step Solution

1. Step 1: Write the proportion equation
   13,556 : 31,658 = 31,658 : x
2. Step 2: Convert to fraction form
   13,556/31,658 = 31,658/x
3. Step 3: Cross multiply
   13,556x = 31,658 × 31,658
4. Step 4: Simplify right side
   13,556x = 1,002,228,964
5. Step 5: Solve for x
   x = 1,002,228,964/13,556
6. Step 6: Final answer
   x = 73,932.50