Finding the Third Proportional to 37,762.50 and 55,762.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,762.50 : 55,762.50 = 55,762.50 : x
2. Step 2: Convert to fraction form
   37,762.50/55,762.50 = 55,762.50/x
3. Step 3: Cross multiply
   37,762.50x = 55,762.50 × 55,762.50
4. Step 4: Simplify right side
   37,762.50x = 3,109,456,406.25
5. Step 5: Solve for x
   x = 3,109,456,406.25/37,762.50
6. Step 6: Final answer
   x = 82,342.44