Finding the Third Proportional to 37,888 and 83,162

Step by Step Solution

1. Step 1: Write the proportion equation
   37,888 : 83,162 = 83,162 : x
2. Step 2: Convert to fraction form
   37,888/83,162 = 83,162/x
3. Step 3: Cross multiply
   37,888x = 83,162 × 83,162
4. Step 4: Simplify right side
   37,888x = 6,915,918,244
5. Step 5: Solve for x
   x = 6,915,918,244/37,888
6. Step 6: Final answer
   x = 182,535.85