Finding the Third Proportional to 34,224 and 74,982

Step by Step Solution

1. Step 1: Write the proportion equation
   34,224 : 74,982 = 74,982 : x
2. Step 2: Convert to fraction form
   34,224/74,982 = 74,982/x
3. Step 3: Cross multiply
   34,224x = 74,982 × 74,982
4. Step 4: Simplify right side
   34,224x = 5,622,300,324
5. Step 5: Solve for x
   x = 5,622,300,324/34,224
6. Step 6: Final answer
   x = 164,279.46