Finding the Third Proportional to 25,916 and 37,458.75

Step by Step Solution

1. Step 1: Write the proportion equation
   25,916 : 37,458.75 = 37,458.75 : x
2. Step 2: Convert to fraction form
   25,916/37,458.75 = 37,458.75/x
3. Step 3: Cross multiply
   25,916x = 37,458.75 × 37,458.75
4. Step 4: Simplify right side
   25,916x = 1,403,157,951.56
5. Step 5: Solve for x
   x = 1,403,157,951.56/25,916
6. Step 6: Final answer
   x = 54,142.54