Finding the Third Proportional to 15,364 and 35,978

Step by Step Solution

1. Step 1: Write the proportion equation
   15,364 : 35,978 = 35,978 : x
2. Step 2: Convert to fraction form
   15,364/35,978 = 35,978/x
3. Step 3: Cross multiply
   15,364x = 35,978 × 35,978
4. Step 4: Simplify right side
   15,364x = 1,294,416,484
5. Step 5: Solve for x
   x = 1,294,416,484/15,364
6. Step 6: Final answer
   x = 84,249.97