Finding the Third Proportional to 31,960 and 50,032.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,960 : 50,032.50 = 50,032.50 : x
2. Step 2: Convert to fraction form
   31,960/50,032.50 = 50,032.50/x
3. Step 3: Cross multiply
   31,960x = 50,032.50 × 50,032.50
4. Step 4: Simplify right side
   31,960x = 2,503,251,056.25
5. Step 5: Solve for x
   x = 2,503,251,056.25/31,960
6. Step 6: Final answer
   x = 78,324.50