Finding the Third Proportional to 59,644 and 91,377

Step by Step Solution

1. Step 1: Write the proportion equation
   59,644 : 91,377 = 91,377 : x
2. Step 2: Convert to fraction form
   59,644/91,377 = 91,377/x
3. Step 3: Cross multiply
   59,644x = 91,377 × 91,377
4. Step 4: Simplify right side
   59,644x = 8,349,756,129
5. Step 5: Solve for x
   x = 8,349,756,129/59,644
6. Step 6: Final answer
   x = 139,993.23