Finding the Third Proportional to 24,106.50 and 35,219.25

Step by Step Solution

1. Step 1: Write the proportion equation
   24,106.50 : 35,219.25 = 35,219.25 : x
2. Step 2: Convert to fraction form
   24,106.50/35,219.25 = 35,219.25/x
3. Step 3: Cross multiply
   24,106.50x = 35,219.25 × 35,219.25
4. Step 4: Simplify right side
   24,106.50x = 1,240,395,570.56
5. Step 5: Solve for x
   x = 1,240,395,570.56/24,106.50
6. Step 6: Final answer
   x = 51,454.82