Finding the Third Proportional to 25,997.06 and 37,148.63

Step by Step Solution

1. Step 1: Write the proportion equation
   25,997.06 : 37,148.63 = 37,148.63 : x
2. Step 2: Convert to fraction form
   25,997.06/37,148.63 = 37,148.63/x
3. Step 3: Cross multiply
   25,997.06x = 37,148.63 × 37,148.63
4. Step 4: Simplify right side
   25,997.06x = 1,380,020,339.39
5. Step 5: Solve for x
   x = 1,380,020,339.39/25,997.06
6. Step 6: Final answer
   x = 53,083.70