Finding the Third Proportional to 53,142 and 72,210

Step by Step Solution

1. Step 1: Write the proportion equation
   53,142 : 72,210 = 72,210 : x
2. Step 2: Convert to fraction form
   53,142/72,210 = 72,210/x
3. Step 3: Cross multiply
   53,142x = 72,210 × 72,210
4. Step 4: Simplify right side
   53,142x = 5,214,284,100
5. Step 5: Solve for x
   x = 5,214,284,100/53,142
6. Step 6: Final answer
   x = 98,119.83