Finding the Third Proportional to 24,116 and 58,078

Step by Step Solution

1. Step 1: Write the proportion equation
   24,116 : 58,078 = 58,078 : x
2. Step 2: Convert to fraction form
   24,116/58,078 = 58,078/x
3. Step 3: Cross multiply
   24,116x = 58,078 × 58,078
4. Step 4: Simplify right side
   24,116x = 3,373,054,084
5. Step 5: Solve for x
   x = 3,373,054,084/24,116
6. Step 6: Final answer
   x = 139,867.89