Finding the Third Proportional to 61,846 and 89,339

Step by Step Solution

1. Step 1: Write the proportion equation
   61,846 : 89,339 = 89,339 : x
2. Step 2: Convert to fraction form
   61,846/89,339 = 89,339/x
3. Step 3: Cross multiply
   61,846x = 89,339 × 89,339
4. Step 4: Simplify right side
   61,846x = 7,981,456,921
5. Step 5: Solve for x
   x = 7,981,456,921/61,846
6. Step 6: Final answer
   x = 129,053.73