Finding the Third Proportional to 37,908 and 79,764.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,908 : 79,764.75 = 79,764.75 : x
2. Step 2: Convert to fraction form
   37,908/79,764.75 = 79,764.75/x
3. Step 3: Cross multiply
   37,908x = 79,764.75 × 79,764.75
4. Step 4: Simplify right side
   37,908x = 6,362,415,342.56
5. Step 5: Solve for x
   x = 6,362,415,342.56/37,908
6. Step 6: Final answer
   x = 167,838.33