Finding the Third Proportional to 32,553 and 71,338

Step by Step Solution

1. Step 1: Write the proportion equation
   32,553 : 71,338 = 71,338 : x
2. Step 2: Convert to fraction form
   32,553/71,338 = 71,338/x
3. Step 3: Cross multiply
   32,553x = 71,338 × 71,338
4. Step 4: Simplify right side
   32,553x = 5,089,110,244
5. Step 5: Solve for x
   x = 5,089,110,244/32,553
6. Step 6: Final answer
   x = 156,333.06