Finding the Third Proportional to 42,621 and 65,229

Step by Step Solution

1. Step 1: Write the proportion equation
   42,621 : 65,229 = 65,229 : x
2. Step 2: Convert to fraction form
   42,621/65,229 = 65,229/x
3. Step 3: Cross multiply
   42,621x = 65,229 × 65,229
4. Step 4: Simplify right side
   42,621x = 4,254,822,441
5. Step 5: Solve for x
   x = 4,254,822,441/42,621
6. Step 6: Final answer
   x = 99,829.25