Finding the Third Proportional to 20,108 and 42,646

Step by Step Solution

1. Step 1: Write the proportion equation
   20,108 : 42,646 = 42,646 : x
2. Step 2: Convert to fraction form
   20,108/42,646 = 42,646/x
3. Step 3: Cross multiply
   20,108x = 42,646 × 42,646
4. Step 4: Simplify right side
   20,108x = 1,818,681,316
5. Step 5: Solve for x
   x = 1,818,681,316/20,108
6. Step 6: Final answer
   x = 90,445.66