Finding the Third Proportional to 25,776 and 37,738.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,776 : 37,738.50 = 37,738.50 : x
2. Step 2: Convert to fraction form
   25,776/37,738.50 = 37,738.50/x
3. Step 3: Cross multiply
   25,776x = 37,738.50 × 37,738.50
4. Step 4: Simplify right side
   25,776x = 1,424,194,382.25
5. Step 5: Solve for x
   x = 1,424,194,382.25/25,776
6. Step 6: Final answer
   x = 55,252.73