Finding the Third Proportional to 25,184 and 58,820

Step by Step Solution

1. Step 1: Write the proportion equation
   25,184 : 58,820 = 58,820 : x
2. Step 2: Convert to fraction form
   25,184/58,820 = 58,820/x
3. Step 3: Cross multiply
   25,184x = 58,820 × 58,820
4. Step 4: Simplify right side
   25,184x = 3,459,792,400
5. Step 5: Solve for x
   x = 3,459,792,400/25,184
6. Step 6: Final answer
   x = 137,380.57