Finding the Third Proportional to 34,046 and 74,404

Step by Step Solution

1. Step 1: Write the proportion equation
   34,046 : 74,404 = 74,404 : x
2. Step 2: Convert to fraction form
   34,046/74,404 = 74,404/x
3. Step 3: Cross multiply
   34,046x = 74,404 × 74,404
4. Step 4: Simplify right side
   34,046x = 5,535,955,216
5. Step 5: Solve for x
   x = 5,535,955,216/34,046
6. Step 6: Final answer
   x = 162,602.22