Finding the Third Proportional to 37,984 and 81,152

Step by Step Solution

1. Step 1: Write the proportion equation
   37,984 : 81,152 = 81,152 : x
2. Step 2: Convert to fraction form
   37,984/81,152 = 81,152/x
3. Step 3: Cross multiply
   37,984x = 81,152 × 81,152
4. Step 4: Simplify right side
   37,984x = 6,585,647,104
5. Step 5: Solve for x
   x = 6,585,647,104/37,984
6. Step 6: Final answer
   x = 173,379.50