Finding the Third Proportional to 37,799.50 and 82,781

Step by Step Solution

1. Step 1: Write the proportion equation
   37,799.50 : 82,781 = 82,781 : x
2. Step 2: Convert to fraction form
   37,799.50/82,781 = 82,781/x
3. Step 3: Cross multiply
   37,799.50x = 82,781 × 82,781
4. Step 4: Simplify right side
   37,799.50x = 6,852,693,961
5. Step 5: Solve for x
   x = 6,852,693,961/37,799.50
6. Step 6: Final answer
   x = 181,290.60