Finding the Third Proportional to 24,193.50 and 37,384.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,193.50 : 37,384.50 = 37,384.50 : x
2. Step 2: Convert to fraction form
   24,193.50/37,384.50 = 37,384.50/x
3. Step 3: Cross multiply
   24,193.50x = 37,384.50 × 37,384.50
4. Step 4: Simplify right side
   24,193.50x = 1,397,600,840.25
5. Step 5: Solve for x
   x = 1,397,600,840.25/24,193.50
6. Step 6: Final answer
   x = 57,767.62