Finding the Third Proportional to 35,509 and 53,911.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,509 : 53,911.50 = 53,911.50 : x
2. Step 2: Convert to fraction form
   35,509/53,911.50 = 53,911.50/x
3. Step 3: Cross multiply
   35,509x = 53,911.50 × 53,911.50
4. Step 4: Simplify right side
   35,509x = 2,906,449,832.25
5. Step 5: Solve for x
   x = 2,906,449,832.25/35,509
6. Step 6: Final answer
   x = 81,851.08