Finding the Third Proportional to 31,941 and 48,355.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,941 : 48,355.50 = 48,355.50 : x
2. Step 2: Convert to fraction form
   31,941/48,355.50 = 48,355.50/x
3. Step 3: Cross multiply
   31,941x = 48,355.50 × 48,355.50
4. Step 4: Simplify right side
   31,941x = 2,338,254,380.25
5. Step 5: Solve for x
   x = 2,338,254,380.25/31,941
6. Step 6: Final answer
   x = 73,205.42