Finding the Third Proportional to 35,646.50 and 49,834.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,646.50 : 49,834.50 = 49,834.50 : x
2. Step 2: Convert to fraction form
   35,646.50/49,834.50 = 49,834.50/x
3. Step 3: Cross multiply
   35,646.50x = 49,834.50 × 49,834.50
4. Step 4: Simplify right side
   35,646.50x = 2,483,477,390.25
5. Step 5: Solve for x
   x = 2,483,477,390.25/35,646.50
6. Step 6: Final answer
   x = 69,669.60