Finding the Third Proportional to 10,208 and 27,632

Step by Step Solution

1. Step 1: Write the proportion equation
   10,208 : 27,632 = 27,632 : x
2. Step 2: Convert to fraction form
   10,208/27,632 = 27,632/x
3. Step 3: Cross multiply
   10,208x = 27,632 × 27,632
4. Step 4: Simplify right side
   10,208x = 763,527,424
5. Step 5: Solve for x
   x = 763,527,424/10,208
6. Step 6: Final answer
   x = 74,796.97