Finding the Third Proportional to 31,965 and 47,947.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,965 : 47,947.50 = 47,947.50 : x
2. Step 2: Convert to fraction form
   31,965/47,947.50 = 47,947.50/x
3. Step 3: Cross multiply
   31,965x = 47,947.50 × 47,947.50
4. Step 4: Simplify right side
   31,965x = 2,298,962,756.25
5. Step 5: Solve for x
   x = 2,298,962,756.25/31,965
6. Step 6: Final answer
   x = 71,921.25