Finding the Third Proportional to 45,844 and 61,854

Step by Step Solution

1. Step 1: Write the proportion equation
   45,844 : 61,854 = 61,854 : x
2. Step 2: Convert to fraction form
   45,844/61,854 = 61,854/x
3. Step 3: Cross multiply
   45,844x = 61,854 × 61,854
4. Step 4: Simplify right side
   45,844x = 3,825,917,316
5. Step 5: Solve for x
   x = 3,825,917,316/45,844
6. Step 6: Final answer
   x = 83,455.14