Finding the Third Proportional to 31,500 and 68,172

Step by Step Solution

1. Step 1: Write the proportion equation
   31,500 : 68,172 = 68,172 : x
2. Step 2: Convert to fraction form
   31,500/68,172 = 68,172/x
3. Step 3: Cross multiply
   31,500x = 68,172 × 68,172
4. Step 4: Simplify right side
   31,500x = 4,647,421,584
5. Step 5: Solve for x
   x = 4,647,421,584/31,500
6. Step 6: Final answer
   x = 147,537.19