Finding the Third Proportional to 33,949.50 and 74,586

Step by Step Solution

1. Step 1: Write the proportion equation
   33,949.50 : 74,586 = 74,586 : x
2. Step 2: Convert to fraction form
   33,949.50/74,586 = 74,586/x
3. Step 3: Cross multiply
   33,949.50x = 74,586 × 74,586
4. Step 4: Simplify right side
   33,949.50x = 5,563,071,396
5. Step 5: Solve for x
   x = 5,563,071,396/33,949.50
6. Step 6: Final answer
   x = 163,863.13