Finding the Third Proportional to 45,569 and 64,142

Step by Step Solution

1. Step 1: Write the proportion equation
   45,569 : 64,142 = 64,142 : x
2. Step 2: Convert to fraction form
   45,569/64,142 = 64,142/x
3. Step 3: Cross multiply
   45,569x = 64,142 × 64,142
4. Step 4: Simplify right side
   45,569x = 4,114,196,164
5. Step 5: Solve for x
   x = 4,114,196,164/45,569
6. Step 6: Final answer
   x = 90,284.98