Finding the Third Proportional to 24,789 and 38,335.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,789 : 38,335.50 = 38,335.50 : x
2. Step 2: Convert to fraction form
   24,789/38,335.50 = 38,335.50/x
3. Step 3: Cross multiply
   24,789x = 38,335.50 × 38,335.50
4. Step 4: Simplify right side
   24,789x = 1,469,610,560.25
5. Step 5: Solve for x
   x = 1,469,610,560.25/24,789
6. Step 6: Final answer
   x = 59,284.79