Finding the Third Proportional to 35,385 and 83,412

Step by Step Solution

1. Step 1: Write the proportion equation
   35,385 : 83,412 = 83,412 : x
2. Step 2: Convert to fraction form
   35,385/83,412 = 83,412/x
3. Step 3: Cross multiply
   35,385x = 83,412 × 83,412
4. Step 4: Simplify right side
   35,385x = 6,957,561,744
5. Step 5: Solve for x
   x = 6,957,561,744/35,385
6. Step 6: Final answer
   x = 196,624.61