Finding the Third Proportional to 37,338 and 55,916

Step by Step Solution

1. Step 1: Write the proportion equation
   37,338 : 55,916 = 55,916 : x
2. Step 2: Convert to fraction form
   37,338/55,916 = 55,916/x
3. Step 3: Cross multiply
   37,338x = 55,916 × 55,916
4. Step 4: Simplify right side
   37,338x = 3,126,599,056
5. Step 5: Solve for x
   x = 3,126,599,056/37,338
6. Step 6: Final answer
   x = 83,737.72