Finding the Third Proportional to 25,668 and 53,056.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,668 : 53,056.50 = 53,056.50 : x
2. Step 2: Convert to fraction form
   25,668/53,056.50 = 53,056.50/x
3. Step 3: Cross multiply
   25,668x = 53,056.50 × 53,056.50
4. Step 4: Simplify right side
   25,668x = 2,814,992,192.25
5. Step 5: Solve for x
   x = 2,814,992,192.25/25,668
6. Step 6: Final answer
   x = 109,669.32