Finding the Third Proportional to 37,557 and 56,218.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,557 : 56,218.50 = 56,218.50 : x
2. Step 2: Convert to fraction form
   37,557/56,218.50 = 56,218.50/x
3. Step 3: Cross multiply
   37,557x = 56,218.50 × 56,218.50
4. Step 4: Simplify right side
   37,557x = 3,160,519,742.25
5. Step 5: Solve for x
   x = 3,160,519,742.25/37,557
6. Step 6: Final answer
   x = 84,152.61