Finding the Third Proportional to 33,989.63 and 76,772.81

Step by Step Solution

1. Step 1: Write the proportion equation
   33,989.63 : 76,772.81 = 76,772.81 : x
2. Step 2: Convert to fraction form
   33,989.63/76,772.81 = 76,772.81/x
3. Step 3: Cross multiply
   33,989.63x = 76,772.81 × 76,772.81
4. Step 4: Simplify right side
   33,989.63x = 5,894,064,739.16
5. Step 5: Solve for x
   x = 5,894,064,739.16/33,989.63
6. Step 6: Final answer
   x = 173,407.76