Finding the Third Proportional to 24,921 and 37,165.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,921 : 37,165.50 = 37,165.50 : x
2. Step 2: Convert to fraction form
   24,921/37,165.50 = 37,165.50/x
3. Step 3: Cross multiply
   24,921x = 37,165.50 × 37,165.50
4. Step 4: Simplify right side
   24,921x = 1,381,274,390.25
5. Step 5: Solve for x
   x = 1,381,274,390.25/24,921
6. Step 6: Final answer
   x = 55,426.12