Finding the Third Proportional to 37,637.50 and 55,042.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,637.50 : 55,042.50 = 55,042.50 : x
2. Step 2: Convert to fraction form
   37,637.50/55,042.50 = 55,042.50/x
3. Step 3: Cross multiply
   37,637.50x = 55,042.50 × 55,042.50
4. Step 4: Simplify right side
   37,637.50x = 3,029,676,806.25
5. Step 5: Solve for x
   x = 3,029,676,806.25/37,637.50
6. Step 6: Final answer
   x = 80,496.23