Finding the Third Proportional to 35,872 and 83,360

Step by Step Solution

1. Step 1: Write the proportion equation
   35,872 : 83,360 = 83,360 : x
2. Step 2: Convert to fraction form
   35,872/83,360 = 83,360/x
3. Step 3: Cross multiply
   35,872x = 83,360 × 83,360
4. Step 4: Simplify right side
   35,872x = 6,948,889,600
5. Step 5: Solve for x
   x = 6,948,889,600/35,872
6. Step 6: Final answer
   x = 193,713.47