Finding the Third Proportional to 25,205 and 37,563

Step by Step Solution

1. Step 1: Write the proportion equation
   25,205 : 37,563 = 37,563 : x
2. Step 2: Convert to fraction form
   25,205/37,563 = 37,563/x
3. Step 3: Cross multiply
   25,205x = 37,563 × 37,563
4. Step 4: Simplify right side
   25,205x = 1,410,978,969
5. Step 5: Solve for x
   x = 1,410,978,969/25,205
6. Step 6: Final answer
   x = 55,980.12