Finding the Third Proportional to 34,151 and 74,134

Step by Step Solution

1. Step 1: Write the proportion equation
   34,151 : 74,134 = 74,134 : x
2. Step 2: Convert to fraction form
   34,151/74,134 = 74,134/x
3. Step 3: Cross multiply
   34,151x = 74,134 × 74,134
4. Step 4: Simplify right side
   34,151x = 5,495,849,956
5. Step 5: Solve for x
   x = 5,495,849,956/34,151
6. Step 6: Final answer
   x = 160,927.94