Finding the Third Proportional to 35,646.75 and 78,647.63

Step by Step Solution

1. Step 1: Write the proportion equation
   35,646.75 : 78,647.63 = 78,647.63 : x
2. Step 2: Convert to fraction form
   35,646.75/78,647.63 = 78,647.63/x
3. Step 3: Cross multiply
   35,646.75x = 78,647.63 × 78,647.63
4. Step 4: Simplify right side
   35,646.75x = 6,185,448,918.14
5. Step 5: Solve for x
   x = 6,185,448,918.14/35,646.75
6. Step 6: Final answer
   x = 173,520.70