Finding the Third Proportional to 37,781.50 and 56,678.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,781.50 : 56,678.50 = 56,678.50 : x
2. Step 2: Convert to fraction form
   37,781.50/56,678.50 = 56,678.50/x
3. Step 3: Cross multiply
   37,781.50x = 56,678.50 × 56,678.50
4. Step 4: Simplify right side
   37,781.50x = 3,212,452,362.25
5. Step 5: Solve for x
   x = 3,212,452,362.25/37,781.50
6. Step 6: Final answer
   x = 85,027.13