Finding the Third Proportional to 35,588.25 and 75,566.25

Step by Step Solution

1. Step 1: Write the proportion equation
   35,588.25 : 75,566.25 = 75,566.25 : x
2. Step 2: Convert to fraction form
   35,588.25/75,566.25 = 75,566.25/x
3. Step 3: Cross multiply
   35,588.25x = 75,566.25 × 75,566.25
4. Step 4: Simplify right side
   35,588.25x = 5,710,258,139.06
5. Step 5: Solve for x
   x = 5,710,258,139.06/35,588.25
6. Step 6: Final answer
   x = 160,453.47