Finding the Third Proportional to 12,820.50 and 21,286.13

Step by Step Solution

1. Step 1: Write the proportion equation
   12,820.50 : 21,286.13 = 21,286.13 : x
2. Step 2: Convert to fraction form
   12,820.50/21,286.13 = 21,286.13/x
3. Step 3: Cross multiply
   12,820.50x = 21,286.13 × 21,286.13
4. Step 4: Simplify right side
   12,820.50x = 453,099,117.52
5. Step 5: Solve for x
   x = 453,099,117.52/12,820.50
6. Step 6: Final answer
   x = 35,341.77