Finding the Third Proportional to 37,801.50 and 82,407

Step by Step Solution

1. Step 1: Write the proportion equation
   37,801.50 : 82,407 = 82,407 : x
2. Step 2: Convert to fraction form
   37,801.50/82,407 = 82,407/x
3. Step 3: Cross multiply
   37,801.50x = 82,407 × 82,407
4. Step 4: Simplify right side
   37,801.50x = 6,790,913,649
5. Step 5: Solve for x
   x = 6,790,913,649/37,801.50
6. Step 6: Final answer
   x = 179,646.67