Finding the Third Proportional to 15,776 and 33,014

Step by Step Solution

1. Step 1: Write the proportion equation
   15,776 : 33,014 = 33,014 : x
2. Step 2: Convert to fraction form
   15,776/33,014 = 33,014/x
3. Step 3: Cross multiply
   15,776x = 33,014 × 33,014
4. Step 4: Simplify right side
   15,776x = 1,089,924,196
5. Step 5: Solve for x
   x = 1,089,924,196/15,776
6. Step 6: Final answer
   x = 69,087.49