Finding the Third Proportional to 61,338 and 89,343

Step by Step Solution

1. Step 1: Write the proportion equation
   61,338 : 89,343 = 89,343 : x
2. Step 2: Convert to fraction form
   61,338/89,343 = 89,343/x
3. Step 3: Cross multiply
   61,338x = 89,343 × 89,343
4. Step 4: Simplify right side
   61,338x = 7,982,171,649
5. Step 5: Solve for x
   x = 7,982,171,649/61,338
6. Step 6: Final answer
   x = 130,134.20