Finding the Third Proportional to 25,866 and 45,630

Step by Step Solution

1. Step 1: Write the proportion equation
   25,866 : 45,630 = 45,630 : x
2. Step 2: Convert to fraction form
   25,866/45,630 = 45,630/x
3. Step 3: Cross multiply
   25,866x = 45,630 × 45,630
4. Step 4: Simplify right side
   25,866x = 2,082,096,900
5. Step 5: Solve for x
   x = 2,082,096,900/25,866
6. Step 6: Final answer
   x = 80,495.51