Finding the Third Proportional to 34,827 and 71,262

Step by Step Solution

1. Step 1: Write the proportion equation
   34,827 : 71,262 = 71,262 : x
2. Step 2: Convert to fraction form
   34,827/71,262 = 71,262/x
3. Step 3: Cross multiply
   34,827x = 71,262 × 71,262
4. Step 4: Simplify right side
   34,827x = 5,078,272,644
5. Step 5: Solve for x
   x = 5,078,272,644/34,827
6. Step 6: Final answer
   x = 145,814.24