Finding the Third Proportional to 35,704 and 84,588.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,704 : 84,588.50 = 84,588.50 : x
2. Step 2: Convert to fraction form
   35,704/84,588.50 = 84,588.50/x
3. Step 3: Cross multiply
   35,704x = 84,588.50 × 84,588.50
4. Step 4: Simplify right side
   35,704x = 7,155,214,332.25
5. Step 5: Solve for x
   x = 7,155,214,332.25/35,704
6. Step 6: Final answer
   x = 200,403.72