Finding the Third Proportional to 25,022.36 and 37,802.64

Step by Step Solution

1. Step 1: Write the proportion equation
   25,022.36 : 37,802.64 = 37,802.64 : x
2. Step 2: Convert to fraction form
   25,022.36/37,802.64 = 37,802.64/x
3. Step 3: Cross multiply
   25,022.36x = 37,802.64 × 37,802.64
4. Step 4: Simplify right side
   25,022.36x = 1,429,039,342.89
5. Step 5: Solve for x
   x = 1,429,039,342.89/25,022.36
6. Step 6: Final answer
   x = 57,110.50