Finding the Third Proportional to 37,144 and 77,350

Step by Step Solution

1. Step 1: Write the proportion equation
   37,144 : 77,350 = 77,350 : x
2. Step 2: Convert to fraction form
   37,144/77,350 = 77,350/x
3. Step 3: Cross multiply
   37,144x = 77,350 × 77,350
4. Step 4: Simplify right side
   37,144x = 5,983,022,500
5. Step 5: Solve for x
   x = 5,983,022,500/37,144
6. Step 6: Final answer
   x = 161,076.42