Finding the Third Proportional to 31,467 and 61,340

Step by Step Solution

1. Step 1: Write the proportion equation
   31,467 : 61,340 = 61,340 : x
2. Step 2: Convert to fraction form
   31,467/61,340 = 61,340/x
3. Step 3: Cross multiply
   31,467x = 61,340 × 61,340
4. Step 4: Simplify right side
   31,467x = 3,762,595,600
5. Step 5: Solve for x
   x = 3,762,595,600/31,467
6. Step 6: Final answer
   x = 119,572.75