Finding the Third Proportional to 71,970 and 108,960

Step by Step Solution

1. Step 1: Write the proportion equation
   71,970 : 108,960 = 108,960 : x
2. Step 2: Convert to fraction form
   71,970/108,960 = 108,960/x
3. Step 3: Cross multiply
   71,970x = 108,960 × 108,960
4. Step 4: Simplify right side
   71,970x = 11,872,281,600
5. Step 5: Solve for x
   x = 11,872,281,600/71,970
6. Step 6: Final answer
   x = 164,961.53