Finding the Third Proportional to 39,456 and 58,584

Step by Step Solution

1. Step 1: Write the proportion equation
   39,456 : 58,584 = 58,584 : x
2. Step 2: Convert to fraction form
   39,456/58,584 = 58,584/x
3. Step 3: Cross multiply
   39,456x = 58,584 × 58,584
4. Step 4: Simplify right side
   39,456x = 3,432,085,056
5. Step 5: Solve for x
   x = 3,432,085,056/39,456
6. Step 6: Final answer
   x = 86,985.12