Finding the Third Proportional to 32,776 and 49,196

Step by Step Solution

1. Step 1: Write the proportion equation
   32,776 : 49,196 = 49,196 : x
2. Step 2: Convert to fraction form
   32,776/49,196 = 49,196/x
3. Step 3: Cross multiply
   32,776x = 49,196 × 49,196
4. Step 4: Simplify right side
   32,776x = 2,420,246,416
5. Step 5: Solve for x
   x = 2,420,246,416/32,776
6. Step 6: Final answer
   x = 73,842.03