Finding the Third Proportional to 27,776 and 32,600

Step by Step Solution

1. Step 1: Write the proportion equation
   27,776 : 32,600 = 32,600 : x
2. Step 2: Convert to fraction form
   27,776/32,600 = 32,600/x
3. Step 3: Cross multiply
   27,776x = 32,600 × 32,600
4. Step 4: Simplify right side
   27,776x = 1,062,760,000
5. Step 5: Solve for x
   x = 1,062,760,000/27,776
6. Step 6: Final answer
   x = 38,261.81