Finding the Third Proportional to 34,547 and 73,834

Step by Step Solution

1. Step 1: Write the proportion equation
   34,547 : 73,834 = 73,834 : x
2. Step 2: Convert to fraction form
   34,547/73,834 = 73,834/x
3. Step 3: Cross multiply
   34,547x = 73,834 × 73,834
4. Step 4: Simplify right side
   34,547x = 5,451,459,556
5. Step 5: Solve for x
   x = 5,451,459,556/34,547
6. Step 6: Final answer
   x = 157,798.35