Finding the Third Proportional to 35,697 and 84,409.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,697 : 84,409.50 = 84,409.50 : x
2. Step 2: Convert to fraction form
   35,697/84,409.50 = 84,409.50/x
3. Step 3: Cross multiply
   35,697x = 84,409.50 × 84,409.50
4. Step 4: Simplify right side
   35,697x = 7,124,963,690.25
5. Step 5: Solve for x
   x = 7,124,963,690.25/35,697
6. Step 6: Final answer
   x = 199,595.59