Finding the Third Proportional to 34,376 and 72,818

Step by Step Solution

1. Step 1: Write the proportion equation
   34,376 : 72,818 = 72,818 : x
2. Step 2: Convert to fraction form
   34,376/72,818 = 72,818/x
3. Step 3: Cross multiply
   34,376x = 72,818 × 72,818
4. Step 4: Simplify right side
   34,376x = 5,302,461,124
5. Step 5: Solve for x
   x = 5,302,461,124/34,376
6. Step 6: Final answer
   x = 154,248.93