Finding the Third Proportional to 37,600 and 82,584

Step by Step Solution

1. Step 1: Write the proportion equation
   37,600 : 82,584 = 82,584 : x
2. Step 2: Convert to fraction form
   37,600/82,584 = 82,584/x
3. Step 3: Cross multiply
   37,600x = 82,584 × 82,584
4. Step 4: Simplify right side
   37,600x = 6,820,117,056
5. Step 5: Solve for x
   x = 6,820,117,056/37,600
6. Step 6: Final answer
   x = 181,386.09