Finding the Third Proportional to 35,640 and 54,300

Step by Step Solution

1. Step 1: Write the proportion equation
   35,640 : 54,300 = 54,300 : x
2. Step 2: Convert to fraction form
   35,640/54,300 = 54,300/x
3. Step 3: Cross multiply
   35,640x = 54,300 × 54,300
4. Step 4: Simplify right side
   35,640x = 2,948,490,000
5. Step 5: Solve for x
   x = 2,948,490,000/35,640
6. Step 6: Final answer
   x = 82,729.80