Finding the Third Proportional to 31,880 and 69,348.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,880 : 69,348.50 = 69,348.50 : x
2. Step 2: Convert to fraction form
   31,880/69,348.50 = 69,348.50/x
3. Step 3: Cross multiply
   31,880x = 69,348.50 × 69,348.50
4. Step 4: Simplify right side
   31,880x = 4,809,214,452.25
5. Step 5: Solve for x
   x = 4,809,214,452.25/31,880
6. Step 6: Final answer
   x = 150,853.65