Finding the Third Proportional to 37,152 and 83,760

Step by Step Solution

1. Step 1: Write the proportion equation
   37,152 : 83,760 = 83,760 : x
2. Step 2: Convert to fraction form
   37,152/83,760 = 83,760/x
3. Step 3: Cross multiply
   37,152x = 83,760 × 83,760
4. Step 4: Simplify right side
   37,152x = 7,015,737,600
5. Step 5: Solve for x
   x = 7,015,737,600/37,152
6. Step 6: Final answer
   x = 188,838.76