Finding the Third Proportional to 45,024 and 65,584

Step by Step Solution

1. Step 1: Write the proportion equation
   45,024 : 65,584 = 65,584 : x
2. Step 2: Convert to fraction form
   45,024/65,584 = 65,584/x
3. Step 3: Cross multiply
   45,024x = 65,584 × 65,584
4. Step 4: Simplify right side
   45,024x = 4,301,261,056
5. Step 5: Solve for x
   x = 4,301,261,056/45,024
6. Step 6: Final answer
   x = 95,532.63