Finding the Third Proportional to 24,426 and 37,108

Step by Step Solution

1. Step 1: Write the proportion equation
   24,426 : 37,108 = 37,108 : x
2. Step 2: Convert to fraction form
   24,426/37,108 = 37,108/x
3. Step 3: Cross multiply
   24,426x = 37,108 × 37,108
4. Step 4: Simplify right side
   24,426x = 1,377,003,664
5. Step 5: Solve for x
   x = 1,377,003,664/24,426
6. Step 6: Final answer
   x = 56,374.51