Finding the Third Proportional to 7,915.50 and 12,533.75

Step by Step Solution

1. Step 1: Write the proportion equation
   7,915.50 : 12,533.75 = 12,533.75 : x
2. Step 2: Convert to fraction form
   7,915.50/12,533.75 = 12,533.75/x
3. Step 3: Cross multiply
   7,915.50x = 12,533.75 × 12,533.75
4. Step 4: Simplify right side
   7,915.50x = 157,094,889.06
5. Step 5: Solve for x
   x = 157,094,889.06/7,915.50
6. Step 6: Final answer
   x = 19,846.49