Finding the Third Proportional to 35,676 and 84,370.75

Step by Step Solution

1. Step 1: Write the proportion equation
   35,676 : 84,370.75 = 84,370.75 : x
2. Step 2: Convert to fraction form
   35,676/84,370.75 = 84,370.75/x
3. Step 3: Cross multiply
   35,676x = 84,370.75 × 84,370.75
4. Step 4: Simplify right side
   35,676x = 7,118,423,455.56
5. Step 5: Solve for x
   x = 7,118,423,455.56/35,676
6. Step 6: Final answer
   x = 199,529.75