Finding the Third Proportional to 35,820 and 76,925.81

Step by Step Solution

1. Step 1: Write the proportion equation
   35,820 : 76,925.81 = 76,925.81 : x
2. Step 2: Convert to fraction form
   35,820/76,925.81 = 76,925.81/x
3. Step 3: Cross multiply
   35,820x = 76,925.81 × 76,925.81
4. Step 4: Simplify right side
   35,820x = 5,917,580,628.79
5. Step 5: Solve for x
   x = 5,917,580,628.79/35,820
6. Step 6: Final answer
   x = 165,203.26