Finding the Third Proportional to 24,354 and 36,796.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,354 : 36,796.50 = 36,796.50 : x
2. Step 2: Convert to fraction form
   24,354/36,796.50 = 36,796.50/x
3. Step 3: Cross multiply
   24,354x = 36,796.50 × 36,796.50
4. Step 4: Simplify right side
   24,354x = 1,353,982,412.25
5. Step 5: Solve for x
   x = 1,353,982,412.25/24,354
6. Step 6: Final answer
   x = 55,595.89