Finding the Third Proportional to 12,835.50 and 31,648.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,835.50 : 31,648.50 = 31,648.50 : x
2. Step 2: Convert to fraction form
   12,835.50/31,648.50 = 31,648.50/x
3. Step 3: Cross multiply
   12,835.50x = 31,648.50 × 31,648.50
4. Step 4: Simplify right side
   12,835.50x = 1,001,627,552.25
5. Step 5: Solve for x
   x = 1,001,627,552.25/12,835.50
6. Step 6: Final answer
   x = 78,035.73