Finding the Third Proportional to 24,620 and 37,223.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,620 : 37,223.50 = 37,223.50 : x
2. Step 2: Convert to fraction form
   24,620/37,223.50 = 37,223.50/x
3. Step 3: Cross multiply
   24,620x = 37,223.50 × 37,223.50
4. Step 4: Simplify right side
   24,620x = 1,385,588,952.25
5. Step 5: Solve for x
   x = 1,385,588,952.25/24,620
6. Step 6: Final answer
   x = 56,279.00