Finding the Third Proportional to 25,642 and 38,804.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,642 : 38,804.50 = 38,804.50 : x
2. Step 2: Convert to fraction form
   25,642/38,804.50 = 38,804.50/x
3. Step 3: Cross multiply
   25,642x = 38,804.50 × 38,804.50
4. Step 4: Simplify right side
   25,642x = 1,505,789,220.25
5. Step 5: Solve for x
   x = 1,505,789,220.25/25,642
6. Step 6: Final answer
   x = 58,723.55