Finding the Third Proportional to 10,261.69 and 27,636.19

Step by Step Solution

1. Step 1: Write the proportion equation
   10,261.69 : 27,636.19 = 27,636.19 : x
2. Step 2: Convert to fraction form
   10,261.69/27,636.19 = 27,636.19/x
3. Step 3: Cross multiply
   10,261.69x = 27,636.19 × 27,636.19
4. Step 4: Simplify right side
   10,261.69x = 763,758,859.54
5. Step 5: Solve for x
   x = 763,758,859.54/10,261.69
6. Step 6: Final answer
   x = 74,428.19