Finding the Third Proportional to 34,007 and 73,594

Step by Step Solution

1. Step 1: Write the proportion equation
   34,007 : 73,594 = 73,594 : x
2. Step 2: Convert to fraction form
   34,007/73,594 = 73,594/x
3. Step 3: Cross multiply
   34,007x = 73,594 × 73,594
4. Step 4: Simplify right side
   34,007x = 5,416,076,836
5. Step 5: Solve for x
   x = 5,416,076,836/34,007
6. Step 6: Final answer
   x = 159,263.59