Finding the Third Proportional to 11,977.31 and 27,975.38

Step by Step Solution

1. Step 1: Write the proportion equation
   11,977.31 : 27,975.38 = 27,975.38 : x
2. Step 2: Convert to fraction form
   11,977.31/27,975.38 = 27,975.38/x
3. Step 3: Cross multiply
   11,977.31x = 27,975.38 × 27,975.38
4. Step 4: Simplify right side
   11,977.31x = 782,621,606.39
5. Step 5: Solve for x
   x = 782,621,606.39/11,977.31
6. Step 6: Final answer
   x = 65,342.00