Finding the Third Proportional to 36,978.75 and 55,404.75

Step by Step Solution

1. Step 1: Write the proportion equation
   36,978.75 : 55,404.75 = 55,404.75 : x
2. Step 2: Convert to fraction form
   36,978.75/55,404.75 = 55,404.75/x
3. Step 3: Cross multiply
   36,978.75x = 55,404.75 × 55,404.75
4. Step 4: Simplify right side
   36,978.75x = 3,069,686,322.56
5. Step 5: Solve for x
   x = 3,069,686,322.56/36,978.75
6. Step 6: Final answer
   x = 83,012.17