Finding the Third Proportional to 35,900 and 73,594

Step by Step Solution

1. Step 1: Write the proportion equation
   35,900 : 73,594 = 73,594 : x
2. Step 2: Convert to fraction form
   35,900/73,594 = 73,594/x
3. Step 3: Cross multiply
   35,900x = 73,594 × 73,594
4. Step 4: Simplify right side
   35,900x = 5,416,076,836
5. Step 5: Solve for x
   x = 5,416,076,836/35,900
6. Step 6: Final answer
   x = 150,865.65