Finding the Third Proportional to 32,116 and 42,614

Step by Step Solution

1. Step 1: Write the proportion equation
   32,116 : 42,614 = 42,614 : x
2. Step 2: Convert to fraction form
   32,116/42,614 = 42,614/x
3. Step 3: Cross multiply
   32,116x = 42,614 × 42,614
4. Step 4: Simplify right side
   32,116x = 1,815,952,996
5. Step 5: Solve for x
   x = 1,815,952,996/32,116
6. Step 6: Final answer
   x = 56,543.56