Finding the Third Proportional to 37,908 and 82,984.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,908 : 82,984.50 = 82,984.50 : x
2. Step 2: Convert to fraction form
   37,908/82,984.50 = 82,984.50/x
3. Step 3: Cross multiply
   37,908x = 82,984.50 × 82,984.50
4. Step 4: Simplify right side
   37,908x = 6,886,427,240.25
5. Step 5: Solve for x
   x = 6,886,427,240.25/37,908
6. Step 6: Final answer
   x = 181,661.58