Finding the Third Proportional to 11,580 and 27,076

Step by Step Solution

1. Step 1: Write the proportion equation
   11,580 : 27,076 = 27,076 : x
2. Step 2: Convert to fraction form
   11,580/27,076 = 27,076/x
3. Step 3: Cross multiply
   11,580x = 27,076 × 27,076
4. Step 4: Simplify right side
   11,580x = 733,109,776
5. Step 5: Solve for x
   x = 733,109,776/11,580
6. Step 6: Final answer
   x = 63,308.27