Finding the Third Proportional to 61,337 and 89,341

Step by Step Solution

1. Step 1: Write the proportion equation
   61,337 : 89,341 = 89,341 : x
2. Step 2: Convert to fraction form
   61,337/89,341 = 89,341/x
3. Step 3: Cross multiply
   61,337x = 89,341 × 89,341
4. Step 4: Simplify right side
   61,337x = 7,981,814,281
5. Step 5: Solve for x
   x = 7,981,814,281/61,337
6. Step 6: Final answer
   x = 130,130.50