Finding the Third Proportional to 7,582 and 12,210

Step by Step Solution

1. Step 1: Write the proportion equation
   7,582 : 12,210 = 12,210 : x
2. Step 2: Convert to fraction form
   7,582/12,210 = 12,210/x
3. Step 3: Cross multiply
   7,582x = 12,210 × 12,210
4. Step 4: Simplify right side
   7,582x = 149,084,100
5. Step 5: Solve for x
   x = 149,084,100/7,582
6. Step 6: Final answer
   x = 19,662.90