Finding the Third Proportional to 24,907.50 and 53,581.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,907.50 : 53,581.50 = 53,581.50 : x
2. Step 2: Convert to fraction form
   24,907.50/53,581.50 = 53,581.50/x
3. Step 3: Cross multiply
   24,907.50x = 53,581.50 × 53,581.50
4. Step 4: Simplify right side
   24,907.50x = 2,870,977,142.25
5. Step 5: Solve for x
   x = 2,870,977,142.25/24,907.50
6. Step 6: Final answer
   x = 115,265.57