Finding the Third Proportional to 10,091.25 and 18,157.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,091.25 : 18,157.50 = 18,157.50 : x
2. Step 2: Convert to fraction form
   10,091.25/18,157.50 = 18,157.50/x
3. Step 3: Cross multiply
   10,091.25x = 18,157.50 × 18,157.50
4. Step 4: Simplify right side
   10,091.25x = 329,694,806.25
5. Step 5: Solve for x
   x = 329,694,806.25/10,091.25
6. Step 6: Final answer
   x = 32,671.35