Finding the Third Proportional to 7,602 and 10,251

Step by Step Solution

1. Step 1: Write the proportion equation
   7,602 : 10,251 = 10,251 : x
2. Step 2: Convert to fraction form
   7,602/10,251 = 10,251/x
3. Step 3: Cross multiply
   7,602x = 10,251 × 10,251
4. Step 4: Simplify right side
   7,602x = 105,083,001
5. Step 5: Solve for x
   x = 105,083,001/7,602
6. Step 6: Final answer
   x = 13,823.07