Finding the Third Proportional to 24,286.50 and 53,223.75

Step by Step Solution

1. Step 1: Write the proportion equation
   24,286.50 : 53,223.75 = 53,223.75 : x
2. Step 2: Convert to fraction form
   24,286.50/53,223.75 = 53,223.75/x
3. Step 3: Cross multiply
   24,286.50x = 53,223.75 × 53,223.75
4. Step 4: Simplify right side
   24,286.50x = 2,832,767,564.06
5. Step 5: Solve for x
   x = 2,832,767,564.06/24,286.50
6. Step 6: Final answer
   x = 116,639.60