Finding the Third Proportional to 20,085 and 42,432

Step by Step Solution

1. Step 1: Write the proportion equation
   20,085 : 42,432 = 42,432 : x
2. Step 2: Convert to fraction form
   20,085/42,432 = 42,432/x
3. Step 3: Cross multiply
   20,085x = 42,432 × 42,432
4. Step 4: Simplify right side
   20,085x = 1,800,474,624
5. Step 5: Solve for x
   x = 1,800,474,624/20,085
6. Step 6: Final answer
   x = 89,642.75