Finding the Third Proportional to 35,623.50 and 76,486.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,623.50 : 76,486.50 = 76,486.50 : x
2. Step 2: Convert to fraction form
   35,623.50/76,486.50 = 76,486.50/x
3. Step 3: Cross multiply
   35,623.50x = 76,486.50 × 76,486.50
4. Step 4: Simplify right side
   35,623.50x = 5,850,184,682.25
5. Step 5: Solve for x
   x = 5,850,184,682.25/35,623.50
6. Step 6: Final answer
   x = 164,222.63