Finding the Third Proportional to 25,380 and 58,495

Step by Step Solution

1. Step 1: Write the proportion equation
   25,380 : 58,495 = 58,495 : x
2. Step 2: Convert to fraction form
   25,380/58,495 = 58,495/x
3. Step 3: Cross multiply
   25,380x = 58,495 × 58,495
4. Step 4: Simplify right side
   25,380x = 3,421,665,025
5. Step 5: Solve for x
   x = 3,421,665,025/25,380
6. Step 6: Final answer
   x = 134,817.38