Finding the Third Proportional to 31,326.75 and 47,983.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,326.75 : 47,983.50 = 47,983.50 : x
2. Step 2: Convert to fraction form
   31,326.75/47,983.50 = 47,983.50/x
3. Step 3: Cross multiply
   31,326.75x = 47,983.50 × 47,983.50
4. Step 4: Simplify right side
   31,326.75x = 2,302,416,272.25
5. Step 5: Solve for x
   x = 2,302,416,272.25/31,326.75
6. Step 6: Final answer
   x = 73,496.81