Finding the Third Proportional to 37,739.75 and 77,118

Step by Step Solution

1. Step 1: Write the proportion equation
   37,739.75 : 77,118 = 77,118 : x
2. Step 2: Convert to fraction form
   37,739.75/77,118 = 77,118/x
3. Step 3: Cross multiply
   37,739.75x = 77,118 × 77,118
4. Step 4: Simplify right side
   37,739.75x = 5,947,185,924
5. Step 5: Solve for x
   x = 5,947,185,924/37,739.75
6. Step 6: Final answer
   x = 157,584.14