Finding the Third Proportional to 35,498.25 and 75,732.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,498.25 : 75,732.50 = 75,732.50 : x
2. Step 2: Convert to fraction form
   35,498.25/75,732.50 = 75,732.50/x
3. Step 3: Cross multiply
   35,498.25x = 75,732.50 × 75,732.50
4. Step 4: Simplify right side
   35,498.25x = 5,735,411,556.25
5. Step 5: Solve for x
   x = 5,735,411,556.25/35,498.25
6. Step 6: Final answer
   x = 161,568.85