Finding the Third Proportional to 53,114 and 72,170

Step by Step Solution

1. Step 1: Write the proportion equation
   53,114 : 72,170 = 72,170 : x
2. Step 2: Convert to fraction form
   53,114/72,170 = 72,170/x
3. Step 3: Cross multiply
   53,114x = 72,170 × 72,170
4. Step 4: Simplify right side
   53,114x = 5,208,508,900
5. Step 5: Solve for x
   x = 5,208,508,900/53,114
6. Step 6: Final answer
   x = 98,062.83