Finding the Third Proportional to 32,166 and 46,818

Step by Step Solution

1. Step 1: Write the proportion equation
   32,166 : 46,818 = 46,818 : x
2. Step 2: Convert to fraction form
   32,166/46,818 = 46,818/x
3. Step 3: Cross multiply
   32,166x = 46,818 × 46,818
4. Step 4: Simplify right side
   32,166x = 2,191,925,124
5. Step 5: Solve for x
   x = 2,191,925,124/32,166
6. Step 6: Final answer
   x = 68,144.16