Finding the Third Proportional to 39,384 and 59,406

Step by Step Solution

1. Step 1: Write the proportion equation
   39,384 : 59,406 = 59,406 : x
2. Step 2: Convert to fraction form
   39,384/59,406 = 59,406/x
3. Step 3: Cross multiply
   39,384x = 59,406 × 59,406
4. Step 4: Simplify right side
   39,384x = 3,529,072,836
5. Step 5: Solve for x
   x = 3,529,072,836/39,384
6. Step 6: Final answer
   x = 89,606.77