Finding the Third Proportional to 37,377 and 56,065.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,377 : 56,065.50 = 56,065.50 : x
2. Step 2: Convert to fraction form
   37,377/56,065.50 = 56,065.50/x
3. Step 3: Cross multiply
   37,377x = 56,065.50 × 56,065.50
4. Step 4: Simplify right side
   37,377x = 3,143,340,290.25
5. Step 5: Solve for x
   x = 3,143,340,290.25/37,377
6. Step 6: Final answer
   x = 84,098.25