Finding the Third Proportional to 45,225 and 64,584

Step by Step Solution

1. Step 1: Write the proportion equation
   45,225 : 64,584 = 64,584 : x
2. Step 2: Convert to fraction form
   45,225/64,584 = 64,584/x
3. Step 3: Cross multiply
   45,225x = 64,584 × 64,584
4. Step 4: Simplify right side
   45,225x = 4,171,093,056
5. Step 5: Solve for x
   x = 4,171,093,056/45,225
6. Step 6: Final answer
   x = 92,229.81