Finding the Third Proportional to 31,170 and 42,585

Step by Step Solution

1. Step 1: Write the proportion equation
   31,170 : 42,585 = 42,585 : x
2. Step 2: Convert to fraction form
   31,170/42,585 = 42,585/x
3. Step 3: Cross multiply
   31,170x = 42,585 × 42,585
4. Step 4: Simplify right side
   31,170x = 1,813,482,225
5. Step 5: Solve for x
   x = 1,813,482,225/31,170
6. Step 6: Final answer
   x = 58,180.37