Finding the Third Proportional to 24,569.25 and 37,767.38

Step by Step Solution

1. Step 1: Write the proportion equation
   24,569.25 : 37,767.38 = 37,767.38 : x
2. Step 2: Convert to fraction form
   24,569.25/37,767.38 = 37,767.38/x
3. Step 3: Cross multiply
   24,569.25x = 37,767.38 × 37,767.38
4. Step 4: Simplify right side
   24,569.25x = 1,426,374,614.39
5. Step 5: Solve for x
   x = 1,426,374,614.39/24,569.25
6. Step 6: Final answer
   x = 58,055.28