Finding the Third Proportional to 30,468 and 47,083.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,468 : 47,083.50 = 47,083.50 : x
2. Step 2: Convert to fraction form
   30,468/47,083.50 = 47,083.50/x
3. Step 3: Cross multiply
   30,468x = 47,083.50 × 47,083.50
4. Step 4: Simplify right side
   30,468x = 2,216,855,972.25
5. Step 5: Solve for x
   x = 2,216,855,972.25/30,468
6. Step 6: Final answer
   x = 72,760.14