Finding the Third Proportional to 27,877.50 and 37,820.25

Step by Step Solution

1. Step 1: Write the proportion equation
   27,877.50 : 37,820.25 = 37,820.25 : x
2. Step 2: Convert to fraction form
   27,877.50/37,820.25 = 37,820.25/x
3. Step 3: Cross multiply
   27,877.50x = 37,820.25 × 37,820.25
4. Step 4: Simplify right side
   27,877.50x = 1,430,371,310.06
5. Step 5: Solve for x
   x = 1,430,371,310.06/27,877.50
6. Step 6: Final answer
   x = 51,309.17