Finding the Third Proportional to 31,928.50 and 69,689

Step by Step Solution

1. Step 1: Write the proportion equation
   31,928.50 : 69,689 = 69,689 : x
2. Step 2: Convert to fraction form
   31,928.50/69,689 = 69,689/x
3. Step 3: Cross multiply
   31,928.50x = 69,689 × 69,689
4. Step 4: Simplify right side
   31,928.50x = 4,856,556,721
5. Step 5: Solve for x
   x = 4,856,556,721/31,928.50
6. Step 6: Final answer
   x = 152,107.26