Finding the Third Proportional to 25,380 and 58,494

Step by Step Solution

1. Step 1: Write the proportion equation
   25,380 : 58,494 = 58,494 : x
2. Step 2: Convert to fraction form
   25,380/58,494 = 58,494/x
3. Step 3: Cross multiply
   25,380x = 58,494 × 58,494
4. Step 4: Simplify right side
   25,380x = 3,421,548,036
5. Step 5: Solve for x
   x = 3,421,548,036/25,380
6. Step 6: Final answer
   x = 134,812.77