Finding the Third Proportional to 34,148 and 72,346

Step by Step Solution

1. Step 1: Write the proportion equation
   34,148 : 72,346 = 72,346 : x
2. Step 2: Convert to fraction form
   34,148/72,346 = 72,346/x
3. Step 3: Cross multiply
   34,148x = 72,346 × 72,346
4. Step 4: Simplify right side
   34,148x = 5,233,943,716
5. Step 5: Solve for x
   x = 5,233,943,716/34,148
6. Step 6: Final answer
   x = 153,272.34