Finding the Third Proportional to 71,404 and 106,890

Step by Step Solution

1. Step 1: Write the proportion equation
   71,404 : 106,890 = 106,890 : x
2. Step 2: Convert to fraction form
   71,404/106,890 = 106,890/x
3. Step 3: Cross multiply
   71,404x = 106,890 × 106,890
4. Step 4: Simplify right side
   71,404x = 11,425,472,100
5. Step 5: Solve for x
   x = 11,425,472,100/71,404
6. Step 6: Final answer
   x = 160,011.65