Finding the Third Proportional to 65,627 and 101,814

Step by Step Solution

1. Step 1: Write the proportion equation
   65,627 : 101,814 = 101,814 : x
2. Step 2: Convert to fraction form
   65,627/101,814 = 101,814/x
3. Step 3: Cross multiply
   65,627x = 101,814 × 101,814
4. Step 4: Simplify right side
   65,627x = 10,366,090,596
5. Step 5: Solve for x
   x = 10,366,090,596/65,627
6. Step 6: Final answer
   x = 157,954.66