Finding the Third Proportional to 32,158 and 76,010.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,158 : 76,010.50 = 76,010.50 : x
2. Step 2: Convert to fraction form
   32,158/76,010.50 = 76,010.50/x
3. Step 3: Cross multiply
   32,158x = 76,010.50 × 76,010.50
4. Step 4: Simplify right side
   32,158x = 5,777,596,110.25
5. Step 5: Solve for x
   x = 5,777,596,110.25/32,158
6. Step 6: Final answer
   x = 179,662.79