Finding the Third Proportional to 35,930.50 and 75,585.25

Step by Step Solution

1. Step 1: Write the proportion equation
   35,930.50 : 75,585.25 = 75,585.25 : x
2. Step 2: Convert to fraction form
   35,930.50/75,585.25 = 75,585.25/x
3. Step 3: Cross multiply
   35,930.50x = 75,585.25 × 75,585.25
4. Step 4: Simplify right side
   35,930.50x = 5,713,130,017.56
5. Step 5: Solve for x
   x = 5,713,130,017.56/35,930.50
6. Step 6: Final answer
   x = 159,005.02