Finding the Third Proportional to 31,511.50 and 48,786

Step by Step Solution

1. Step 1: Write the proportion equation
   31,511.50 : 48,786 = 48,786 : x
2. Step 2: Convert to fraction form
   31,511.50/48,786 = 48,786/x
3. Step 3: Cross multiply
   31,511.50x = 48,786 × 48,786
4. Step 4: Simplify right side
   31,511.50x = 2,380,073,796
5. Step 5: Solve for x
   x = 2,380,073,796/31,511.50
6. Step 6: Final answer
   x = 75,530.32