Finding the Third Proportional to 20,102 and 30,358

Step by Step Solution

1. Step 1: Write the proportion equation
   20,102 : 30,358 = 30,358 : x
2. Step 2: Convert to fraction form
   20,102/30,358 = 30,358/x
3. Step 3: Cross multiply
   20,102x = 30,358 × 30,358
4. Step 4: Simplify right side
   20,102x = 921,608,164
5. Step 5: Solve for x
   x = 921,608,164/20,102
6. Step 6: Final answer
   x = 45,846.59