Finding the Third Proportional to 53,072 and 72,120

Step by Step Solution

1. Step 1: Write the proportion equation
   53,072 : 72,120 = 72,120 : x
2. Step 2: Convert to fraction form
   53,072/72,120 = 72,120/x
3. Step 3: Cross multiply
   53,072x = 72,120 × 72,120
4. Step 4: Simplify right side
   53,072x = 5,201,294,400
5. Step 5: Solve for x
   x = 5,201,294,400/53,072
6. Step 6: Final answer
   x = 98,004.49