Finding the Third Proportional to 34,466 and 71,492

Step by Step Solution

1. Step 1: Write the proportion equation
   34,466 : 71,492 = 71,492 : x
2. Step 2: Convert to fraction form
   34,466/71,492 = 71,492/x
3. Step 3: Cross multiply
   34,466x = 71,492 × 71,492
4. Step 4: Simplify right side
   34,466x = 5,111,106,064
5. Step 5: Solve for x
   x = 5,111,106,064/34,466
6. Step 6: Final answer
   x = 148,294.15