Finding the Third Proportional to 3,832.31 and 5,900.34

Step by Step Solution

1. Step 1: Write the proportion equation
   3,832.31 : 5,900.34 = 5,900.34 : x
2. Step 2: Convert to fraction form
   3,832.31/5,900.34 = 5,900.34/x
3. Step 3: Cross multiply
   3,832.31x = 5,900.34 × 5,900.34
4. Step 4: Simplify right side
   3,832.31x = 34,814,056.37
5. Step 5: Solve for x
   x = 34,814,056.37/3,832.31
6. Step 6: Final answer
   x = 9,084.35