Finding the Third Proportional to 61,852 and 89,348

Step by Step Solution

1. Step 1: Write the proportion equation
   61,852 : 89,348 = 89,348 : x
2. Step 2: Convert to fraction form
   61,852/89,348 = 89,348/x
3. Step 3: Cross multiply
   61,852x = 89,348 × 89,348
4. Step 4: Simplify right side
   61,852x = 7,983,065,104
5. Step 5: Solve for x
   x = 7,983,065,104/61,852
6. Step 6: Final answer
   x = 129,067.21