Finding the Third Proportional to 65,184 and 101,672

Step by Step Solution

1. Step 1: Write the proportion equation
   65,184 : 101,672 = 101,672 : x
2. Step 2: Convert to fraction form
   65,184/101,672 = 101,672/x
3. Step 3: Cross multiply
   65,184x = 101,672 × 101,672
4. Step 4: Simplify right side
   65,184x = 10,337,195,584
5. Step 5: Solve for x
   x = 10,337,195,584/65,184
6. Step 6: Final answer
   x = 158,584.86