Finding the Third Proportional to 53,161 and 72,229

Step by Step Solution

1. Step 1: Write the proportion equation
   53,161 : 72,229 = 72,229 : x
2. Step 2: Convert to fraction form
   53,161/72,229 = 72,229/x
3. Step 3: Cross multiply
   53,161x = 72,229 × 72,229
4. Step 4: Simplify right side
   53,161x = 5,217,028,441
5. Step 5: Solve for x
   x = 5,217,028,441/53,161
6. Step 6: Final answer
   x = 98,136.39