Finding the Third Proportional to 37,384 and 81,648

Step by Step Solution

1. Step 1: Write the proportion equation
   37,384 : 81,648 = 81,648 : x
2. Step 2: Convert to fraction form
   37,384/81,648 = 81,648/x
3. Step 3: Cross multiply
   37,384x = 81,648 × 81,648
4. Step 4: Simplify right side
   37,384x = 6,666,395,904
5. Step 5: Solve for x
   x = 6,666,395,904/37,384
6. Step 6: Final answer
   x = 178,322.17