Finding the Third Proportional to 12,097 and 19,262

Step by Step Solution

1. Step 1: Write the proportion equation
   12,097 : 19,262 = 19,262 : x
2. Step 2: Convert to fraction form
   12,097/19,262 = 19,262/x
3. Step 3: Cross multiply
   12,097x = 19,262 × 19,262
4. Step 4: Simplify right side
   12,097x = 371,024,644
5. Step 5: Solve for x
   x = 371,024,644/12,097
6. Step 6: Final answer
   x = 30,670.80