Finding the Third Proportional to 42,606 and 75,897

Step by Step Solution

1. Step 1: Write the proportion equation
   42,606 : 75,897 = 75,897 : x
2. Step 2: Convert to fraction form
   42,606/75,897 = 75,897/x
3. Step 3: Cross multiply
   42,606x = 75,897 × 75,897
4. Step 4: Simplify right side
   42,606x = 5,760,354,609
5. Step 5: Solve for x
   x = 5,760,354,609/42,606
6. Step 6: Final answer
   x = 135,200.55