Finding the Third Proportional to 37,381.50 and 55,748.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,381.50 : 55,748.25 = 55,748.25 : x
2. Step 2: Convert to fraction form
   37,381.50/55,748.25 = 55,748.25/x
3. Step 3: Cross multiply
   37,381.50x = 55,748.25 × 55,748.25
4. Step 4: Simplify right side
   37,381.50x = 3,107,867,378.06
5. Step 5: Solve for x
   x = 3,107,867,378.06/37,381.50
6. Step 6: Final answer
   x = 83,139.18