Finding the Third Proportional to 37,876 and 53,108

Step by Step Solution

1. Step 1: Write the proportion equation
   37,876 : 53,108 = 53,108 : x
2. Step 2: Convert to fraction form
   37,876/53,108 = 53,108/x
3. Step 3: Cross multiply
   37,876x = 53,108 × 53,108
4. Step 4: Simplify right side
   37,876x = 2,820,459,664
5. Step 5: Solve for x
   x = 2,820,459,664/37,876
6. Step 6: Final answer
   x = 74,465.62