Finding the Third Proportional to 27,977.63 and 54,537.75

Step by Step Solution

1. Step 1: Write the proportion equation
   27,977.63 : 54,537.75 = 54,537.75 : x
2. Step 2: Convert to fraction form
   27,977.63/54,537.75 = 54,537.75/x
3. Step 3: Cross multiply
   27,977.63x = 54,537.75 × 54,537.75
4. Step 4: Simplify right side
   27,977.63x = 2,974,366,175.06
5. Step 5: Solve for x
   x = 2,974,366,175.06/27,977.63
6. Step 6: Final answer
   x = 106,312.32