Finding the Third Proportional to 12,097 and 19,261.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,097 : 19,261.50 = 19,261.50 : x
2. Step 2: Convert to fraction form
   12,097/19,261.50 = 19,261.50/x
3. Step 3: Cross multiply
   12,097x = 19,261.50 × 19,261.50
4. Step 4: Simplify right side
   12,097x = 371,005,382.25
5. Step 5: Solve for x
   x = 371,005,382.25/12,097
6. Step 6: Final answer
   x = 30,669.21