Finding the Third Proportional to 65,826 and 101,655

Step by Step Solution

1. Step 1: Write the proportion equation
   65,826 : 101,655 = 101,655 : x
2. Step 2: Convert to fraction form
   65,826/101,655 = 101,655/x
3. Step 3: Cross multiply
   65,826x = 101,655 × 101,655
4. Step 4: Simplify right side
   65,826x = 10,333,739,025
5. Step 5: Solve for x
   x = 10,333,739,025/65,826
6. Step 6: Final answer
   x = 156,985.67