Finding the Third Proportional to 15,776 and 32,268

Step by Step Solution

1. Step 1: Write the proportion equation
   15,776 : 32,268 = 32,268 : x
2. Step 2: Convert to fraction form
   15,776/32,268 = 32,268/x
3. Step 3: Cross multiply
   15,776x = 32,268 × 32,268
4. Step 4: Simplify right side
   15,776x = 1,041,223,824
5. Step 5: Solve for x
   x = 1,041,223,824/15,776
6. Step 6: Final answer
   x = 66,000.50