Finding the Third Proportional to 32,920 and 72,091

Step by Step Solution

1. Step 1: Write the proportion equation
   32,920 : 72,091 = 72,091 : x
2. Step 2: Convert to fraction form
   32,920/72,091 = 72,091/x
3. Step 3: Cross multiply
   32,920x = 72,091 × 72,091
4. Step 4: Simplify right side
   32,920x = 5,197,112,281
5. Step 5: Solve for x
   x = 5,197,112,281/32,920
6. Step 6: Final answer
   x = 157,870.97