Finding the Third Proportional to 33,830 and 52,586

Step by Step Solution

1. Step 1: Write the proportion equation
   33,830 : 52,586 = 52,586 : x
2. Step 2: Convert to fraction form
   33,830/52,586 = 52,586/x
3. Step 3: Cross multiply
   33,830x = 52,586 × 52,586
4. Step 4: Simplify right side
   33,830x = 2,765,287,396
5. Step 5: Solve for x
   x = 2,765,287,396/33,830
6. Step 6: Final answer
   x = 81,740.69