Finding the Third Proportional to 35,106 and 83,940

Step by Step Solution

1. Step 1: Write the proportion equation
   35,106 : 83,940 = 83,940 : x
2. Step 2: Convert to fraction form
   35,106/83,940 = 83,940/x
3. Step 3: Cross multiply
   35,106x = 83,940 × 83,940
4. Step 4: Simplify right side
   35,106x = 7,045,923,600
5. Step 5: Solve for x
   x = 7,045,923,600/35,106
6. Step 6: Final answer
   x = 200,704.26