Finding the Third Proportional to 35,164.13 and 76,762.69

Step by Step Solution

1. Step 1: Write the proportion equation
   35,164.13 : 76,762.69 = 76,762.69 : x
2. Step 2: Convert to fraction form
   35,164.13/76,762.69 = 76,762.69/x
3. Step 3: Cross multiply
   35,164.13x = 76,762.69 × 76,762.69
4. Step 4: Simplify right side
   35,164.13x = 5,892,510,192.22
5. Step 5: Solve for x
   x = 5,892,510,192.22/35,164.13
6. Step 6: Final answer
   x = 167,571.64