Finding the Third Proportional to 37,264 and 55,389.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,264 : 55,389.50 = 55,389.50 : x
2. Step 2: Convert to fraction form
   37,264/55,389.50 = 55,389.50/x
3. Step 3: Cross multiply
   37,264x = 55,389.50 × 55,389.50
4. Step 4: Simplify right side
   37,264x = 3,067,996,710.25
5. Step 5: Solve for x
   x = 3,067,996,710.25/37,264
6. Step 6: Final answer
   x = 82,331.38