Finding the Third Proportional to 23,426 and 37,224.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,426 : 37,224.50 = 37,224.50 : x
2. Step 2: Convert to fraction form
   23,426/37,224.50 = 37,224.50/x
3. Step 3: Cross multiply
   23,426x = 37,224.50 × 37,224.50
4. Step 4: Simplify right side
   23,426x = 1,385,663,400.25
5. Step 5: Solve for x
   x = 1,385,663,400.25/23,426
6. Step 6: Final answer
   x = 59,150.66