Finding the Third Proportional to 20,585 and 30,146

Step by Step Solution

1. Step 1: Write the proportion equation
   20,585 : 30,146 = 30,146 : x
2. Step 2: Convert to fraction form
   20,585/30,146 = 30,146/x
3. Step 3: Cross multiply
   20,585x = 30,146 × 30,146
4. Step 4: Simplify right side
   20,585x = 908,781,316
5. Step 5: Solve for x
   x = 908,781,316/20,585
6. Step 6: Final answer
   x = 44,147.74