Finding the Third Proportional to 27,823.50 and 37,077.75

Step by Step Solution

1. Step 1: Write the proportion equation
   27,823.50 : 37,077.75 = 37,077.75 : x
2. Step 2: Convert to fraction form
   27,823.50/37,077.75 = 37,077.75/x
3. Step 3: Cross multiply
   27,823.50x = 37,077.75 × 37,077.75
4. Step 4: Simplify right side
   27,823.50x = 1,374,759,545.06
5. Step 5: Solve for x
   x = 1,374,759,545.06/27,823.50
6. Step 6: Final answer
   x = 49,410.01