Finding the Third Proportional to 37,172.25 and 55,802.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,172.25 : 55,802.25 = 55,802.25 : x
2. Step 2: Convert to fraction form
   37,172.25/55,802.25 = 55,802.25/x
3. Step 3: Cross multiply
   37,172.25x = 55,802.25 × 55,802.25
4. Step 4: Simplify right side
   37,172.25x = 3,113,891,105.06
5. Step 5: Solve for x
   x = 3,113,891,105.06/37,172.25
6. Step 6: Final answer
   x = 83,769.24