Finding the Third Proportional to 30,594 and 41,172

Step by Step Solution

1. Step 1: Write the proportion equation
   30,594 : 41,172 = 41,172 : x
2. Step 2: Convert to fraction form
   30,594/41,172 = 41,172/x
3. Step 3: Cross multiply
   30,594x = 41,172 × 41,172
4. Step 4: Simplify right side
   30,594x = 1,695,133,584
5. Step 5: Solve for x
   x = 1,695,133,584/30,594
6. Step 6: Final answer
   x = 55,407.39