Finding the Third Proportional to 36,956.63 and 76,538.25

Step by Step Solution

1. Step 1: Write the proportion equation
   36,956.63 : 76,538.25 = 76,538.25 : x
2. Step 2: Convert to fraction form
   36,956.63/76,538.25 = 76,538.25/x
3. Step 3: Cross multiply
   36,956.63x = 76,538.25 × 76,538.25
4. Step 4: Simplify right side
   36,956.63x = 5,858,103,713.06
5. Step 5: Solve for x
   x = 5,858,103,713.06/36,956.63
6. Step 6: Final answer
   x = 158,512.95