Finding the Third Proportional to 37,746 and 55,525.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,746 : 55,525.50 = 55,525.50 : x
2. Step 2: Convert to fraction form
   37,746/55,525.50 = 55,525.50/x
3. Step 3: Cross multiply
   37,746x = 55,525.50 × 55,525.50
4. Step 4: Simplify right side
   37,746x = 3,083,081,150.25
5. Step 5: Solve for x
   x = 3,083,081,150.25/37,746
6. Step 6: Final answer
   x = 81,679.68