Finding the Third Proportional to 30,640 and 63,196

Step by Step Solution

1. Step 1: Write the proportion equation
   30,640 : 63,196 = 63,196 : x
2. Step 2: Convert to fraction form
   30,640/63,196 = 63,196/x
3. Step 3: Cross multiply
   30,640x = 63,196 × 63,196
4. Step 4: Simplify right side
   30,640x = 3,993,734,416
5. Step 5: Solve for x
   x = 3,993,734,416/30,640
6. Step 6: Final answer
   x = 130,343.81