Finding the Third Proportional to 13,870 and 22,535

Step by Step Solution

1. Step 1: Write the proportion equation
   13,870 : 22,535 = 22,535 : x
2. Step 2: Convert to fraction form
   13,870/22,535 = 22,535/x
3. Step 3: Cross multiply
   13,870x = 22,535 × 22,535
4. Step 4: Simplify right side
   13,870x = 507,826,225
5. Step 5: Solve for x
   x = 507,826,225/13,870
6. Step 6: Final answer
   x = 36,613.28