Finding the Third Proportional to 35,697 and 53,518.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,697 : 53,518.50 = 53,518.50 : x
2. Step 2: Convert to fraction form
   35,697/53,518.50 = 53,518.50/x
3. Step 3: Cross multiply
   35,697x = 53,518.50 × 53,518.50
4. Step 4: Simplify right side
   35,697x = 2,864,229,842.25
5. Step 5: Solve for x
   x = 2,864,229,842.25/35,697
6. Step 6: Final answer
   x = 80,237.27