Finding the Third Proportional to 35,781.75 and 76,180.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,781.75 : 76,180.50 = 76,180.50 : x
2. Step 2: Convert to fraction form
   35,781.75/76,180.50 = 76,180.50/x
3. Step 3: Cross multiply
   35,781.75x = 76,180.50 × 76,180.50
4. Step 4: Simplify right side
   35,781.75x = 5,803,468,580.25
5. Step 5: Solve for x
   x = 5,803,468,580.25/35,781.75
6. Step 6: Final answer
   x = 162,190.74