Finding the Third Proportional to 32,178 and 42,411

Step by Step Solution

1. Step 1: Write the proportion equation
   32,178 : 42,411 = 42,411 : x
2. Step 2: Convert to fraction form
   32,178/42,411 = 42,411/x
3. Step 3: Cross multiply
   32,178x = 42,411 × 42,411
4. Step 4: Simplify right side
   32,178x = 1,798,692,921
5. Step 5: Solve for x
   x = 1,798,692,921/32,178
6. Step 6: Final answer
   x = 55,898.22