Finding the Third Proportional to 24,116 and 37,110

Step by Step Solution

1. Step 1: Write the proportion equation
   24,116 : 37,110 = 37,110 : x
2. Step 2: Convert to fraction form
   24,116/37,110 = 37,110/x
3. Step 3: Cross multiply
   24,116x = 37,110 × 37,110
4. Step 4: Simplify right side
   24,116x = 1,377,152,100
5. Step 5: Solve for x
   x = 1,377,152,100/24,116
6. Step 6: Final answer
   x = 57,105.33