Finding the Third Proportional to 37,945 and 83,148

Step by Step Solution

1. Step 1: Write the proportion equation
   37,945 : 83,148 = 83,148 : x
2. Step 2: Convert to fraction form
   37,945/83,148 = 83,148/x
3. Step 3: Cross multiply
   37,945x = 83,148 × 83,148
4. Step 4: Simplify right side
   37,945x = 6,913,589,904
5. Step 5: Solve for x
   x = 6,913,589,904/37,945
6. Step 6: Final answer
   x = 182,200.29