Finding the Third Proportional to 31,839 and 49,255.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,839 : 49,255.50 = 49,255.50 : x
2. Step 2: Convert to fraction form
   31,839/49,255.50 = 49,255.50/x
3. Step 3: Cross multiply
   31,839x = 49,255.50 × 49,255.50
4. Step 4: Simplify right side
   31,839x = 2,426,104,280.25
5. Step 5: Solve for x
   x = 2,426,104,280.25/31,839
6. Step 6: Final answer
   x = 76,199.14