Finding the Third Proportional to 7,564 and 12,034

Step by Step Solution

1. Step 1: Write the proportion equation
   7,564 : 12,034 = 12,034 : x
2. Step 2: Convert to fraction form
   7,564/12,034 = 12,034/x
3. Step 3: Cross multiply
   7,564x = 12,034 × 12,034
4. Step 4: Simplify right side
   7,564x = 144,817,156
5. Step 5: Solve for x
   x = 144,817,156/7,564
6. Step 6: Final answer
   x = 19,145.58