Finding the Third Proportional to 65,730 and 101,967

Step by Step Solution

1. Step 1: Write the proportion equation
   65,730 : 101,967 = 101,967 : x
2. Step 2: Convert to fraction form
   65,730/101,967 = 101,967/x
3. Step 3: Cross multiply
   65,730x = 101,967 × 101,967
4. Step 4: Simplify right side
   65,730x = 10,397,269,089
5. Step 5: Solve for x
   x = 10,397,269,089/65,730
6. Step 6: Final answer
   x = 158,181.49