Finding the Third Proportional to 35,218.13 and 76,407.75

Step by Step Solution

1. Step 1: Write the proportion equation
   35,218.13 : 76,407.75 = 76,407.75 : x
2. Step 2: Convert to fraction form
   35,218.13/76,407.75 = 76,407.75/x
3. Step 3: Cross multiply
   35,218.13x = 76,407.75 × 76,407.75
4. Step 4: Simplify right side
   35,218.13x = 5,838,144,260.06
5. Step 5: Solve for x
   x = 5,838,144,260.06/35,218.13
6. Step 6: Final answer
   x = 165,771.01