Finding the Third Proportional to 32,152 and 77,452

Step by Step Solution

1. Step 1: Write the proportion equation
   32,152 : 77,452 = 77,452 : x
2. Step 2: Convert to fraction form
   32,152/77,452 = 77,452/x
3. Step 3: Cross multiply
   32,152x = 77,452 × 77,452
4. Step 4: Simplify right side
   32,152x = 5,998,812,304
5. Step 5: Solve for x
   x = 5,998,812,304/32,152
6. Step 6: Final answer
   x = 186,576.65