Finding the Third Proportional to 45,839 and 61,846

Step by Step Solution

1. Step 1: Write the proportion equation
   45,839 : 61,846 = 61,846 : x
2. Step 2: Convert to fraction form
   45,839/61,846 = 61,846/x
3. Step 3: Cross multiply
   45,839x = 61,846 × 61,846
4. Step 4: Simplify right side
   45,839x = 3,824,927,716
5. Step 5: Solve for x
   x = 3,824,927,716/45,839
6. Step 6: Final answer
   x = 83,442.65