Finding the Third Proportional to 35,613 and 76,936.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,613 : 76,936.50 = 76,936.50 : x
2. Step 2: Convert to fraction form
   35,613/76,936.50 = 76,936.50/x
3. Step 3: Cross multiply
   35,613x = 76,936.50 × 76,936.50
4. Step 4: Simplify right side
   35,613x = 5,919,225,032.25
5. Step 5: Solve for x
   x = 5,919,225,032.25/35,613
6. Step 6: Final answer
   x = 166,209.67