Finding the Third Proportional to 15,566 and 34,036

Step by Step Solution

1. Step 1: Write the proportion equation
   15,566 : 34,036 = 34,036 : x
2. Step 2: Convert to fraction form
   15,566/34,036 = 34,036/x
3. Step 3: Cross multiply
   15,566x = 34,036 × 34,036
4. Step 4: Simplify right side
   15,566x = 1,158,449,296
5. Step 5: Solve for x
   x = 1,158,449,296/15,566
6. Step 6: Final answer
   x = 74,421.77