Finding the Third Proportional to 16,077.50 and 24,579.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,077.50 : 24,579.50 = 24,579.50 : x
2. Step 2: Convert to fraction form
   16,077.50/24,579.50 = 24,579.50/x
3. Step 3: Cross multiply
   16,077.50x = 24,579.50 × 24,579.50
4. Step 4: Simplify right side
   16,077.50x = 604,151,820.25
5. Step 5: Solve for x
   x = 604,151,820.25/16,077.50
6. Step 6: Final answer
   x = 37,577.47