Finding the Third Proportional to 35,739 and 53,185.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,739 : 53,185.50 = 53,185.50 : x
2. Step 2: Convert to fraction form
   35,739/53,185.50 = 53,185.50/x
3. Step 3: Cross multiply
   35,739x = 53,185.50 × 53,185.50
4. Step 4: Simplify right side
   35,739x = 2,828,697,410.25
5. Step 5: Solve for x
   x = 2,828,697,410.25/35,739
6. Step 6: Final answer
   x = 79,148.76