Finding the Third Proportional to 31,594.50 and 68,085

Step by Step Solution

1. Step 1: Write the proportion equation
   31,594.50 : 68,085 = 68,085 : x
2. Step 2: Convert to fraction form
   31,594.50/68,085 = 68,085/x
3. Step 3: Cross multiply
   31,594.50x = 68,085 × 68,085
4. Step 4: Simplify right side
   31,594.50x = 4,635,567,225
5. Step 5: Solve for x
   x = 4,635,567,225/31,594.50
6. Step 6: Final answer
   x = 146,720.70