Finding the Third Proportional to 24,834 and 58,579.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,834 : 58,579.50 = 58,579.50 : x
2. Step 2: Convert to fraction form
   24,834/58,579.50 = 58,579.50/x
3. Step 3: Cross multiply
   24,834x = 58,579.50 × 58,579.50
4. Step 4: Simplify right side
   24,834x = 3,431,557,820.25
5. Step 5: Solve for x
   x = 3,431,557,820.25/24,834
6. Step 6: Final answer
   x = 138,179.83