Finding the Third Proportional to 12,509.86 and 23,174.02

Step by Step Solution

1. Step 1: Write the proportion equation
   12,509.86 : 23,174.02 = 23,174.02 : x
2. Step 2: Convert to fraction form
   12,509.86/23,174.02 = 23,174.02/x
3. Step 3: Cross multiply
   12,509.86x = 23,174.02 × 23,174.02
4. Step 4: Simplify right side
   12,509.86x = 537,035,000.19
5. Step 5: Solve for x
   x = 537,035,000.19/12,509.86
6. Step 6: Final answer
   x = 42,928.94