Finding the Third Proportional to 37,752 and 77,144

Step by Step Solution

1. Step 1: Write the proportion equation
   37,752 : 77,144 = 77,144 : x
2. Step 2: Convert to fraction form
   37,752/77,144 = 77,144/x
3. Step 3: Cross multiply
   37,752x = 77,144 × 77,144
4. Step 4: Simplify right side
   37,752x = 5,951,196,736
5. Step 5: Solve for x
   x = 5,951,196,736/37,752
6. Step 6: Final answer
   x = 157,639.24