Finding the Third Proportional to 32,698 and 46,045

Step by Step Solution

1. Step 1: Write the proportion equation
   32,698 : 46,045 = 46,045 : x
2. Step 2: Convert to fraction form
   32,698/46,045 = 46,045/x
3. Step 3: Cross multiply
   32,698x = 46,045 × 46,045
4. Step 4: Simplify right side
   32,698x = 2,120,142,025
5. Step 5: Solve for x
   x = 2,120,142,025/32,698
6. Step 6: Final answer
   x = 64,840.11