Finding the Third Proportional to 32,186 and 42,423

Step by Step Solution

1. Step 1: Write the proportion equation
   32,186 : 42,423 = 42,423 : x
2. Step 2: Convert to fraction form
   32,186/42,423 = 42,423/x
3. Step 3: Cross multiply
   32,186x = 42,423 × 42,423
4. Step 4: Simplify right side
   32,186x = 1,799,710,929
5. Step 5: Solve for x
   x = 1,799,710,929/32,186
6. Step 6: Final answer
   x = 55,915.96