Finding the Third Proportional to 24,804 and 37,786

Step by Step Solution

1. Step 1: Write the proportion equation
   24,804 : 37,786 = 37,786 : x
2. Step 2: Convert to fraction form
   24,804/37,786 = 37,786/x
3. Step 3: Cross multiply
   24,804x = 37,786 × 37,786
4. Step 4: Simplify right side
   24,804x = 1,427,781,796
5. Step 5: Solve for x
   x = 1,427,781,796/24,804
6. Step 6: Final answer
   x = 57,562.56