Finding the Third Proportional to 21,415.50 and 31,947.75

Step by Step Solution

1. Step 1: Write the proportion equation
   21,415.50 : 31,947.75 = 31,947.75 : x
2. Step 2: Convert to fraction form
   21,415.50/31,947.75 = 31,947.75/x
3. Step 3: Cross multiply
   21,415.50x = 31,947.75 × 31,947.75
4. Step 4: Simplify right side
   21,415.50x = 1,020,658,730.06
5. Step 5: Solve for x
   x = 1,020,658,730.06/21,415.50
6. Step 6: Final answer
   x = 47,659.81