Finding the Third Proportional to 45,886 and 61,916

Step by Step Solution

1. Step 1: Write the proportion equation
   45,886 : 61,916 = 61,916 : x
2. Step 2: Convert to fraction form
   45,886/61,916 = 61,916/x
3. Step 3: Cross multiply
   45,886x = 61,916 × 61,916
4. Step 4: Simplify right side
   45,886x = 3,833,591,056
5. Step 5: Solve for x
   x = 3,833,591,056/45,886
6. Step 6: Final answer
   x = 83,545.98