Finding the Third Proportional to 12,774.38 and 27,978.75

Step by Step Solution

1. Step 1: Write the proportion equation
   12,774.38 : 27,978.75 = 27,978.75 : x
2. Step 2: Convert to fraction form
   12,774.38/27,978.75 = 27,978.75/x
3. Step 3: Cross multiply
   12,774.38x = 27,978.75 × 27,978.75
4. Step 4: Simplify right side
   12,774.38x = 782,810,451.56
5. Step 5: Solve for x
   x = 782,810,451.56/12,774.38
6. Step 6: Final answer
   x = 61,279.75