Finding the Third Proportional to 37,496.25 and 52,735.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,496.25 : 52,735.75 = 52,735.75 : x
2. Step 2: Convert to fraction form
   37,496.25/52,735.75 = 52,735.75/x
3. Step 3: Cross multiply
   37,496.25x = 52,735.75 × 52,735.75
4. Step 4: Simplify right side
   37,496.25x = 2,781,059,328.06
5. Step 5: Solve for x
   x = 2,781,059,328.06/37,496.25
6. Step 6: Final answer
   x = 74,169.00