Finding the Third Proportional to 35,984 and 83,003

Step by Step Solution

1. Step 1: Write the proportion equation
   35,984 : 83,003 = 83,003 : x
2. Step 2: Convert to fraction form
   35,984/83,003 = 83,003/x
3. Step 3: Cross multiply
   35,984x = 83,003 × 83,003
4. Step 4: Simplify right side
   35,984x = 6,889,498,009
5. Step 5: Solve for x
   x = 6,889,498,009/35,984
6. Step 6: Final answer
   x = 191,460.04