Finding the Third Proportional to 31,477.50 and 49,326.75

Step by Step Solution

1. Step 1: Write the proportion equation
   31,477.50 : 49,326.75 = 49,326.75 : x
2. Step 2: Convert to fraction form
   31,477.50/49,326.75 = 49,326.75/x
3. Step 3: Cross multiply
   31,477.50x = 49,326.75 × 49,326.75
4. Step 4: Simplify right side
   31,477.50x = 2,433,128,265.56
5. Step 5: Solve for x
   x = 2,433,128,265.56/31,477.50
6. Step 6: Final answer
   x = 77,297.38