Finding the Third Proportional to 25,462 and 37,457

Step by Step Solution

1. Step 1: Write the proportion equation
   25,462 : 37,457 = 37,457 : x
2. Step 2: Convert to fraction form
   25,462/37,457 = 37,457/x
3. Step 3: Cross multiply
   25,462x = 37,457 × 37,457
4. Step 4: Simplify right side
   25,462x = 1,403,026,849
5. Step 5: Solve for x
   x = 1,403,026,849/25,462
6. Step 6: Final answer
   x = 55,102.77