Finding the Third Proportional to 65,752 and 101,166

Step by Step Solution

1. Step 1: Write the proportion equation
   65,752 : 101,166 = 101,166 : x
2. Step 2: Convert to fraction form
   65,752/101,166 = 101,166/x
3. Step 3: Cross multiply
   65,752x = 101,166 × 101,166
4. Step 4: Simplify right side
   65,752x = 10,234,559,556
5. Step 5: Solve for x
   x = 10,234,559,556/65,752
6. Step 6: Final answer
   x = 155,653.97