Finding the Third Proportional to 45,891 and 61,758

Step by Step Solution

1. Step 1: Write the proportion equation
   45,891 : 61,758 = 61,758 : x
2. Step 2: Convert to fraction form
   45,891/61,758 = 61,758/x
3. Step 3: Cross multiply
   45,891x = 61,758 × 61,758
4. Step 4: Simplify right side
   45,891x = 3,814,050,564
5. Step 5: Solve for x
   x = 3,814,050,564/45,891
6. Step 6: Final answer
   x = 83,111.08