Finding the Third Proportional to 71,640 and 109,100.25

Step by Step Solution

1. Step 1: Write the proportion equation
   71,640 : 109,100.25 = 109,100.25 : x
2. Step 2: Convert to fraction form
   71,640/109,100.25 = 109,100.25/x
3. Step 3: Cross multiply
   71,640x = 109,100.25 × 109,100.25
4. Step 4: Simplify right side
   71,640x = 11,902,864,550.06
5. Step 5: Solve for x
   x = 11,902,864,550.06/71,640
6. Step 6: Final answer
   x = 166,148.30