Finding the Third Proportional to 24,381 and 35,704.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,381 : 35,704.50 = 35,704.50 : x
2. Step 2: Convert to fraction form
   24,381/35,704.50 = 35,704.50/x
3. Step 3: Cross multiply
   24,381x = 35,704.50 × 35,704.50
4. Step 4: Simplify right side
   24,381x = 1,274,811,320.25
5. Step 5: Solve for x
   x = 1,274,811,320.25/24,381
6. Step 6: Final answer
   x = 52,287.08