Finding the Third Proportional to 37,585.27 and 56,193.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,585.27 : 56,193.75 = 56,193.75 : x
2. Step 2: Convert to fraction form
   37,585.27/56,193.75 = 56,193.75/x
3. Step 3: Cross multiply
   37,585.27x = 56,193.75 × 56,193.75
4. Step 4: Simplify right side
   37,585.27x = 3,157,737,539.06
5. Step 5: Solve for x
   x = 3,157,737,539.06/37,585.27
6. Step 6: Final answer
   x = 84,015.30