Finding the Third Proportional to 24,462 and 53,266.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,462 : 53,266.50 = 53,266.50 : x
2. Step 2: Convert to fraction form
   24,462/53,266.50 = 53,266.50/x
3. Step 3: Cross multiply
   24,462x = 53,266.50 × 53,266.50
4. Step 4: Simplify right side
   24,462x = 2,837,320,022.25
5. Step 5: Solve for x
   x = 2,837,320,022.25/24,462
6. Step 6: Final answer
   x = 115,988.88