Finding the Third Proportional to 27,411.75 and 56,978.16

Step by Step Solution

1. Step 1: Write the proportion equation
   27,411.75 : 56,978.16 = 56,978.16 : x
2. Step 2: Convert to fraction form
   27,411.75/56,978.16 = 56,978.16/x
3. Step 3: Cross multiply
   27,411.75x = 56,978.16 × 56,978.16
4. Step 4: Simplify right side
   27,411.75x = 3,246,510,289.65
5. Step 5: Solve for x
   x = 3,246,510,289.65/27,411.75
6. Step 6: Final answer
   x = 118,434.99