Finding the Third Proportional to 35,584 and 55,820

Step by Step Solution

1. Step 1: Write the proportion equation
   35,584 : 55,820 = 55,820 : x
2. Step 2: Convert to fraction form
   35,584/55,820 = 55,820/x
3. Step 3: Cross multiply
   35,584x = 55,820 × 55,820
4. Step 4: Simplify right side
   35,584x = 3,115,872,400
5. Step 5: Solve for x
   x = 3,115,872,400/35,584
6. Step 6: Final answer
   x = 87,563.86