Finding the Third Proportional to 32,106 and 42,612.75

Step by Step Solution

1. Step 1: Write the proportion equation
   32,106 : 42,612.75 = 42,612.75 : x
2. Step 2: Convert to fraction form
   32,106/42,612.75 = 42,612.75/x
3. Step 3: Cross multiply
   32,106x = 42,612.75 × 42,612.75
4. Step 4: Simplify right side
   32,106x = 1,815,846,462.56
5. Step 5: Solve for x
   x = 1,815,846,462.56/32,106
6. Step 6: Final answer
   x = 56,557.85