Finding the Third Proportional to 32,798 and 71,752

Step by Step Solution

1. Step 1: Write the proportion equation
   32,798 : 71,752 = 71,752 : x
2. Step 2: Convert to fraction form
   32,798/71,752 = 71,752/x
3. Step 3: Cross multiply
   32,798x = 71,752 × 71,752
4. Step 4: Simplify right side
   32,798x = 5,148,349,504
5. Step 5: Solve for x
   x = 5,148,349,504/32,798
6. Step 6: Final answer
   x = 156,971.45