Finding the Third Proportional to 25,176 and 37,026

Step by Step Solution

1. Step 1: Write the proportion equation
   25,176 : 37,026 = 37,026 : x
2. Step 2: Convert to fraction form
   25,176/37,026 = 37,026/x
3. Step 3: Cross multiply
   25,176x = 37,026 × 37,026
4. Step 4: Simplify right side
   25,176x = 1,370,924,676
5. Step 5: Solve for x
   x = 1,370,924,676/25,176
6. Step 6: Final answer
   x = 54,453.63