Finding the Third Proportional to 36,900.77 and 76,427.09

Step by Step Solution

1. Step 1: Write the proportion equation
   36,900.77 : 76,427.09 = 76,427.09 : x
2. Step 2: Convert to fraction form
   36,900.77/76,427.09 = 76,427.09/x
3. Step 3: Cross multiply
   36,900.77x = 76,427.09 × 76,427.09
4. Step 4: Simplify right side
   36,900.77x = 5,841,099,464.90
5. Step 5: Solve for x
   x = 5,841,099,464.90/36,900.77
6. Step 6: Final answer
   x = 158,292.06