Finding the Third Proportional to 25,997.63 and 37,176.75

Step by Step Solution

1. Step 1: Write the proportion equation
   25,997.63 : 37,176.75 = 37,176.75 : x
2. Step 2: Convert to fraction form
   25,997.63/37,176.75 = 37,176.75/x
3. Step 3: Cross multiply
   25,997.63x = 37,176.75 × 37,176.75
4. Step 4: Simplify right side
   25,997.63x = 1,382,110,740.56
5. Step 5: Solve for x
   x = 1,382,110,740.56/25,997.63
6. Step 6: Final answer
   x = 53,162.96