Finding the Third Proportional to 7,538.06 and 15,423.75

Step by Step Solution

1. Step 1: Write the proportion equation
   7,538.06 : 15,423.75 = 15,423.75 : x
2. Step 2: Convert to fraction form
   7,538.06/15,423.75 = 15,423.75/x
3. Step 3: Cross multiply
   7,538.06x = 15,423.75 × 15,423.75
4. Step 4: Simplify right side
   7,538.06x = 237,892,064.06
5. Step 5: Solve for x
   x = 237,892,064.06/7,538.06
6. Step 6: Final answer
   x = 31,558.78