Finding the Third Proportional to 32,863 and 46,501

Step by Step Solution

1. Step 1: Write the proportion equation
   32,863 : 46,501 = 46,501 : x
2. Step 2: Convert to fraction form
   32,863/46,501 = 46,501/x
3. Step 3: Cross multiply
   32,863x = 46,501 × 46,501
4. Step 4: Simplify right side
   32,863x = 2,162,343,001
5. Step 5: Solve for x
   x = 2,162,343,001/32,863
6. Step 6: Final answer
   x = 65,798.71