Finding the Third Proportional to 31,740 and 68,947.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,740 : 68,947.50 = 68,947.50 : x
2. Step 2: Convert to fraction form
   31,740/68,947.50 = 68,947.50/x
3. Step 3: Cross multiply
   31,740x = 68,947.50 × 68,947.50
4. Step 4: Simplify right side
   31,740x = 4,753,757,756.25
5. Step 5: Solve for x
   x = 4,753,757,756.25/31,740
6. Step 6: Final answer
   x = 149,771.83