Finding the Third Proportional to 35,766 and 76,152

Step by Step Solution

1. Step 1: Write the proportion equation
   35,766 : 76,152 = 76,152 : x
2. Step 2: Convert to fraction form
   35,766/76,152 = 76,152/x
3. Step 3: Cross multiply
   35,766x = 76,152 × 76,152
4. Step 4: Simplify right side
   35,766x = 5,799,127,104
5. Step 5: Solve for x
   x = 5,799,127,104/35,766
6. Step 6: Final answer
   x = 162,140.78