Finding the Third Proportional to 47,834 and 74,658

Step by Step Solution

1. Step 1: Write the proportion equation
   47,834 : 74,658 = 74,658 : x
2. Step 2: Convert to fraction form
   47,834/74,658 = 74,658/x
3. Step 3: Cross multiply
   47,834x = 74,658 × 74,658
4. Step 4: Simplify right side
   47,834x = 5,573,816,964
5. Step 5: Solve for x
   x = 5,573,816,964/47,834
6. Step 6: Final answer
   x = 116,524.17