Finding the Third Proportional to 45,926 and 65,008

Step by Step Solution

1. Step 1: Write the proportion equation
   45,926 : 65,008 = 65,008 : x
2. Step 2: Convert to fraction form
   45,926/65,008 = 65,008/x
3. Step 3: Cross multiply
   45,926x = 65,008 × 65,008
4. Step 4: Simplify right side
   45,926x = 4,226,040,064
5. Step 5: Solve for x
   x = 4,226,040,064/45,926
6. Step 6: Final answer
   x = 92,018.47