Finding the Third Proportional to 24,178.50 and 37,364.63

Step by Step Solution

1. Step 1: Write the proportion equation
   24,178.50 : 37,364.63 = 37,364.63 : x
2. Step 2: Convert to fraction form
   24,178.50/37,364.63 = 37,364.63/x
3. Step 3: Cross multiply
   24,178.50x = 37,364.63 × 37,364.63
4. Step 4: Simplify right side
   24,178.50x = 1,396,115,201.39
5. Step 5: Solve for x
   x = 1,396,115,201.39/24,178.50
6. Step 6: Final answer
   x = 57,742.01