Finding the Third Proportional to 20,585 and 42,912

Step by Step Solution

1. Step 1: Write the proportion equation
   20,585 : 42,912 = 42,912 : x
2. Step 2: Convert to fraction form
   20,585/42,912 = 42,912/x
3. Step 3: Cross multiply
   20,585x = 42,912 × 42,912
4. Step 4: Simplify right side
   20,585x = 1,841,439,744
5. Step 5: Solve for x
   x = 1,841,439,744/20,585
6. Step 6: Final answer
   x = 89,455.42