Finding the Third Proportional to 27,097 and 32,019

Step by Step Solution

1. Step 1: Write the proportion equation
   27,097 : 32,019 = 32,019 : x
2. Step 2: Convert to fraction form
   27,097/32,019 = 32,019/x
3. Step 3: Cross multiply
   27,097x = 32,019 × 32,019
4. Step 4: Simplify right side
   27,097x = 1,025,216,361
5. Step 5: Solve for x
   x = 1,025,216,361/27,097
6. Step 6: Final answer
   x = 37,835.05