Finding the Third Proportional to 32,116 and 42,615

Step by Step Solution

1. Step 1: Write the proportion equation
   32,116 : 42,615 = 42,615 : x
2. Step 2: Convert to fraction form
   32,116/42,615 = 42,615/x
3. Step 3: Cross multiply
   32,116x = 42,615 × 42,615
4. Step 4: Simplify right side
   32,116x = 1,816,038,225
5. Step 5: Solve for x
   x = 1,816,038,225/32,116
6. Step 6: Final answer
   x = 56,546.21