Finding the Third Proportional to 24,826.50 and 53,206.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,826.50 : 53,206.50 = 53,206.50 : x
2. Step 2: Convert to fraction form
   24,826.50/53,206.50 = 53,206.50/x
3. Step 3: Cross multiply
   24,826.50x = 53,206.50 × 53,206.50
4. Step 4: Simplify right side
   24,826.50x = 2,830,931,642.25
5. Step 5: Solve for x
   x = 2,830,931,642.25/24,826.50
6. Step 6: Final answer
   x = 114,028.62