Finding the Third Proportional to 38,064 and 83,760

Step by Step Solution

1. Step 1: Write the proportion equation
   38,064 : 83,760 = 83,760 : x
2. Step 2: Convert to fraction form
   38,064/83,760 = 83,760/x
3. Step 3: Cross multiply
   38,064x = 83,760 × 83,760
4. Step 4: Simplify right side
   38,064x = 7,015,737,600
5. Step 5: Solve for x
   x = 7,015,737,600/38,064
6. Step 6: Final answer
   x = 184,314.25