Finding the Third Proportional to 37,803 and 81,384

Step by Step Solution

1. Step 1: Write the proportion equation
   37,803 : 81,384 = 81,384 : x
2. Step 2: Convert to fraction form
   37,803/81,384 = 81,384/x
3. Step 3: Cross multiply
   37,803x = 81,384 × 81,384
4. Step 4: Simplify right side
   37,803x = 6,623,355,456
5. Step 5: Solve for x
   x = 6,623,355,456/37,803
6. Step 6: Final answer
   x = 175,207.14