Finding the Third Proportional to 37,066 and 78,831

Step by Step Solution

1. Step 1: Write the proportion equation
   37,066 : 78,831 = 78,831 : x
2. Step 2: Convert to fraction form
   37,066/78,831 = 78,831/x
3. Step 3: Cross multiply
   37,066x = 78,831 × 78,831
4. Step 4: Simplify right side
   37,066x = 6,214,326,561
5. Step 5: Solve for x
   x = 6,214,326,561/37,066
6. Step 6: Final answer
   x = 167,655.71