Finding the Third Proportional to 35,672 and 84,360

Step by Step Solution

1. Step 1: Write the proportion equation
   35,672 : 84,360 = 84,360 : x
2. Step 2: Convert to fraction form
   35,672/84,360 = 84,360/x
3. Step 3: Cross multiply
   35,672x = 84,360 × 84,360
4. Step 4: Simplify right side
   35,672x = 7,116,609,600
5. Step 5: Solve for x
   x = 7,116,609,600/35,672
6. Step 6: Final answer
   x = 199,501.28