Finding the Third Proportional to 35,551 and 76,521.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,551 : 76,521.50 = 76,521.50 : x
2. Step 2: Convert to fraction form
   35,551/76,521.50 = 76,521.50/x
3. Step 3: Cross multiply
   35,551x = 76,521.50 × 76,521.50
4. Step 4: Simplify right side
   35,551x = 5,855,539,962.25
5. Step 5: Solve for x
   x = 5,855,539,962.25/35,551
6. Step 6: Final answer
   x = 164,708.16