Finding the Third Proportional to 65,870 and 101,897

Step by Step Solution

1. Step 1: Write the proportion equation
   65,870 : 101,897 = 101,897 : x
2. Step 2: Convert to fraction form
   65,870/101,897 = 101,897/x
3. Step 3: Cross multiply
   65,870x = 101,897 × 101,897
4. Step 4: Simplify right side
   65,870x = 10,382,998,609
5. Step 5: Solve for x
   x = 10,382,998,609/65,870
6. Step 6: Final answer
   x = 157,628.64