Finding the Third Proportional to 31,105 and 47,809.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,105 : 47,809.50 = 47,809.50 : x
2. Step 2: Convert to fraction form
   31,105/47,809.50 = 47,809.50/x
3. Step 3: Cross multiply
   31,105x = 47,809.50 × 47,809.50
4. Step 4: Simplify right side
   31,105x = 2,285,748,290.25
5. Step 5: Solve for x
   x = 2,285,748,290.25/31,105
6. Step 6: Final answer
   x = 73,484.92