Finding the Third Proportional to 53,047 and 72,086

Step by Step Solution

1. Step 1: Write the proportion equation
   53,047 : 72,086 = 72,086 : x
2. Step 2: Convert to fraction form
   53,047/72,086 = 72,086/x
3. Step 3: Cross multiply
   53,047x = 72,086 × 72,086
4. Step 4: Simplify right side
   53,047x = 5,196,391,396
5. Step 5: Solve for x
   x = 5,196,391,396/53,047
6. Step 6: Final answer
   x = 97,958.25