Finding the Third Proportional to 15,097.50 and 35,523.50

Step by Step Solution

1. Step 1: Write the proportion equation
   15,097.50 : 35,523.50 = 35,523.50 : x
2. Step 2: Convert to fraction form
   15,097.50/35,523.50 = 35,523.50/x
3. Step 3: Cross multiply
   15,097.50x = 35,523.50 × 35,523.50
4. Step 4: Simplify right side
   15,097.50x = 1,261,919,052.25
5. Step 5: Solve for x
   x = 1,261,919,052.25/15,097.50
6. Step 6: Final answer
   x = 83,584.64