Finding the Third Proportional to 14,152.50 and 26,272.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,152.50 : 26,272.50 = 26,272.50 : x
2. Step 2: Convert to fraction form
   14,152.50/26,272.50 = 26,272.50/x
3. Step 3: Cross multiply
   14,152.50x = 26,272.50 × 26,272.50
4. Step 4: Simplify right side
   14,152.50x = 690,244,256.25
5. Step 5: Solve for x
   x = 690,244,256.25/14,152.50
6. Step 6: Final answer
   x = 48,771.90