Finding the Third Proportional to 37,320 and 81,204

Step by Step Solution

1. Step 1: Write the proportion equation
   37,320 : 81,204 = 81,204 : x
2. Step 2: Convert to fraction form
   37,320/81,204 = 81,204/x
3. Step 3: Cross multiply
   37,320x = 81,204 × 81,204
4. Step 4: Simplify right side
   37,320x = 6,594,089,616
5. Step 5: Solve for x
   x = 6,594,089,616/37,320
6. Step 6: Final answer
   x = 176,690.50