Finding the Third Proportional to 26,821.13 and 37,477.69

Step by Step Solution

1. Step 1: Write the proportion equation
   26,821.13 : 37,477.69 = 37,477.69 : x
2. Step 2: Convert to fraction form
   26,821.13/37,477.69 = 37,477.69/x
3. Step 3: Cross multiply
   26,821.13x = 37,477.69 × 37,477.69
4. Step 4: Simplify right side
   26,821.13x = 1,404,577,060.35
5. Step 5: Solve for x
   x = 1,404,577,060.35/26,821.13
6. Step 6: Final answer
   x = 52,368.31