Finding the Third Proportional to 7,588 and 10,342

Step by Step Solution

1. Step 1: Write the proportion equation
   7,588 : 10,342 = 10,342 : x
2. Step 2: Convert to fraction form
   7,588/10,342 = 10,342/x
3. Step 3: Cross multiply
   7,588x = 10,342 × 10,342
4. Step 4: Simplify right side
   7,588x = 106,956,964
5. Step 5: Solve for x
   x = 106,956,964/7,588
6. Step 6: Final answer
   x = 14,095.54