Finding the Third Proportional to 25,899.75 and 53,419.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,899.75 : 53,419.50 = 53,419.50 : x
2. Step 2: Convert to fraction form
   25,899.75/53,419.50 = 53,419.50/x
3. Step 3: Cross multiply
   25,899.75x = 53,419.50 × 53,419.50
4. Step 4: Simplify right side
   25,899.75x = 2,853,642,980.25
5. Step 5: Solve for x
   x = 2,853,642,980.25/25,899.75
6. Step 6: Final answer
   x = 110,180.33