Finding the Third Proportional to 45,877 and 64,605

Step by Step Solution

1. Step 1: Write the proportion equation
   45,877 : 64,605 = 64,605 : x
2. Step 2: Convert to fraction form
   45,877/64,605 = 64,605/x
3. Step 3: Cross multiply
   45,877x = 64,605 × 64,605
4. Step 4: Simplify right side
   45,877x = 4,173,806,025
5. Step 5: Solve for x
   x = 4,173,806,025/45,877
6. Step 6: Final answer
   x = 90,978.18