Finding the Third Proportional to 34,194 and 73,254

Step by Step Solution

1. Step 1: Write the proportion equation
   34,194 : 73,254 = 73,254 : x
2. Step 2: Convert to fraction form
   34,194/73,254 = 73,254/x
3. Step 3: Cross multiply
   34,194x = 73,254 × 73,254
4. Step 4: Simplify right side
   34,194x = 5,366,148,516
5. Step 5: Solve for x
   x = 5,366,148,516/34,194
6. Step 6: Final answer
   x = 156,932.46