Finding the Third Proportional to 25,460 and 37,454

Step by Step Solution

1. Step 1: Write the proportion equation
   25,460 : 37,454 = 37,454 : x
2. Step 2: Convert to fraction form
   25,460/37,454 = 37,454/x
3. Step 3: Cross multiply
   25,460x = 37,454 × 37,454
4. Step 4: Simplify right side
   25,460x = 1,402,802,116
5. Step 5: Solve for x
   x = 1,402,802,116/25,460
6. Step 6: Final answer
   x = 55,098.28