Finding the Third Proportional to 76,032 and 102,384

Step by Step Solution

1. Step 1: Write the proportion equation
   76,032 : 102,384 = 102,384 : x
2. Step 2: Convert to fraction form
   76,032/102,384 = 102,384/x
3. Step 3: Cross multiply
   76,032x = 102,384 × 102,384
4. Step 4: Simplify right side
   76,032x = 10,482,483,456
5. Step 5: Solve for x
   x = 10,482,483,456/76,032
6. Step 6: Final answer
   x = 137,869.36