Finding the Third Proportional to 33,143 and 72,586

Step by Step Solution

1. Step 1: Write the proportion equation
   33,143 : 72,586 = 72,586 : x
2. Step 2: Convert to fraction form
   33,143/72,586 = 72,586/x
3. Step 3: Cross multiply
   33,143x = 72,586 × 72,586
4. Step 4: Simplify right side
   33,143x = 5,268,727,396
5. Step 5: Solve for x
   x = 5,268,727,396/33,143
6. Step 6: Final answer
   x = 158,969.54