Finding the Third Proportional to 32,180 and 69,897

Step by Step Solution

1. Step 1: Write the proportion equation
   32,180 : 69,897 = 69,897 : x
2. Step 2: Convert to fraction form
   32,180/69,897 = 69,897/x
3. Step 3: Cross multiply
   32,180x = 69,897 × 69,897
4. Step 4: Simplify right side
   32,180x = 4,885,590,609
5. Step 5: Solve for x
   x = 4,885,590,609/32,180
6. Step 6: Final answer
   x = 151,820.72