Finding the Third Proportional to 35,647.50 and 49,838.25

Step by Step Solution

1. Step 1: Write the proportion equation
   35,647.50 : 49,838.25 = 49,838.25 : x
2. Step 2: Convert to fraction form
   35,647.50/49,838.25 = 49,838.25/x
3. Step 3: Cross multiply
   35,647.50x = 49,838.25 × 49,838.25
4. Step 4: Simplify right side
   35,647.50x = 2,483,851,163.06
5. Step 5: Solve for x
   x = 2,483,851,163.06/35,647.50
6. Step 6: Final answer
   x = 69,678.13