Finding the Third Proportional to 25,761 and 53,176.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,761 : 53,176.50 = 53,176.50 : x
2. Step 2: Convert to fraction form
   25,761/53,176.50 = 53,176.50/x
3. Step 3: Cross multiply
   25,761x = 53,176.50 × 53,176.50
4. Step 4: Simplify right side
   25,761x = 2,827,740,152.25
5. Step 5: Solve for x
   x = 2,827,740,152.25/25,761
6. Step 6: Final answer
   x = 109,768.26