Finding the Third Proportional to 25,614 and 53,293.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,614 : 53,293.50 = 53,293.50 : x
2. Step 2: Convert to fraction form
   25,614/53,293.50 = 53,293.50/x
3. Step 3: Cross multiply
   25,614x = 53,293.50 × 53,293.50
4. Step 4: Simplify right side
   25,614x = 2,840,197,142.25
5. Step 5: Solve for x
   x = 2,840,197,142.25/25,614
6. Step 6: Final answer
   x = 110,884.56