Finding the Third Proportional to 35,613 and 76,167

Step by Step Solution

1. Step 1: Write the proportion equation
   35,613 : 76,167 = 76,167 : x
2. Step 2: Convert to fraction form
   35,613/76,167 = 76,167/x
3. Step 3: Cross multiply
   35,613x = 76,167 × 76,167
4. Step 4: Simplify right side
   35,613x = 5,801,411,889
5. Step 5: Solve for x
   x = 5,801,411,889/35,613
6. Step 6: Final answer
   x = 162,901.52