Finding the Third Proportional to 24,031 and 35,084.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,031 : 35,084.50 = 35,084.50 : x
2. Step 2: Convert to fraction form
   24,031/35,084.50 = 35,084.50/x
3. Step 3: Cross multiply
   24,031x = 35,084.50 × 35,084.50
4. Step 4: Simplify right side
   24,031x = 1,230,922,140.25
5. Step 5: Solve for x
   x = 1,230,922,140.25/24,031
6. Step 6: Final answer
   x = 51,222.26