Finding the Third Proportional to 36,900.75 and 76,427.25

Step by Step Solution

1. Step 1: Write the proportion equation
   36,900.75 : 76,427.25 = 76,427.25 : x
2. Step 2: Convert to fraction form
   36,900.75/76,427.25 = 76,427.25/x
3. Step 3: Cross multiply
   36,900.75x = 76,427.25 × 76,427.25
4. Step 4: Simplify right side
   36,900.75x = 5,841,124,542.56
5. Step 5: Solve for x
   x = 5,841,124,542.56/36,900.75
6. Step 6: Final answer
   x = 158,292.84