Finding the Third Proportional to 32,199 and 71,309

Step by Step Solution

1. Step 1: Write the proportion equation
   32,199 : 71,309 = 71,309 : x
2. Step 2: Convert to fraction form
   32,199/71,309 = 71,309/x
3. Step 3: Cross multiply
   32,199x = 71,309 × 71,309
4. Step 4: Simplify right side
   32,199x = 5,084,973,481
5. Step 5: Solve for x
   x = 5,084,973,481/32,199
6. Step 6: Final answer
   x = 157,923.34