Finding the Third Proportional to 32,000 and 65,584

Step by Step Solution

1. Step 1: Write the proportion equation
   32,000 : 65,584 = 65,584 : x
2. Step 2: Convert to fraction form
   32,000/65,584 = 65,584/x
3. Step 3: Cross multiply
   32,000x = 65,584 × 65,584
4. Step 4: Simplify right side
   32,000x = 4,301,261,056
5. Step 5: Solve for x
   x = 4,301,261,056/32,000
6. Step 6: Final answer
   x = 134,414.41