Finding the Third Proportional to 24,792.19 and 37,769.63

Step by Step Solution

1. Step 1: Write the proportion equation
   24,792.19 : 37,769.63 = 37,769.63 : x
2. Step 2: Convert to fraction form
   24,792.19/37,769.63 = 37,769.63/x
3. Step 3: Cross multiply
   24,792.19x = 37,769.63 × 37,769.63
4. Step 4: Simplify right side
   24,792.19x = 1,426,544,572.64
5. Step 5: Solve for x
   x = 1,426,544,572.64/24,792.19
6. Step 6: Final answer
   x = 57,540.08