Finding the Third Proportional to 31,107 and 41,911.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,107 : 41,911.50 = 41,911.50 : x
2. Step 2: Convert to fraction form
   31,107/41,911.50 = 41,911.50/x
3. Step 3: Cross multiply
   31,107x = 41,911.50 × 41,911.50
4. Step 4: Simplify right side
   31,107x = 1,756,573,832.25
5. Step 5: Solve for x
   x = 1,756,573,832.25/31,107
6. Step 6: Final answer
   x = 56,468.76