Finding the Third Proportional to 35,665.31 and 75,309.75

Step by Step Solution

1. Step 1: Write the proportion equation
   35,665.31 : 75,309.75 = 75,309.75 : x
2. Step 2: Convert to fraction form
   35,665.31/75,309.75 = 75,309.75/x
3. Step 3: Cross multiply
   35,665.31x = 75,309.75 × 75,309.75
4. Step 4: Simplify right side
   35,665.31x = 5,671,558,445.06
5. Step 5: Solve for x
   x = 5,671,558,445.06/35,665.31
6. Step 6: Final answer
   x = 159,021.69