Finding the Third Proportional to 37,902 and 56,857.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,902 : 56,857.50 = 56,857.50 : x
2. Step 2: Convert to fraction form
   37,902/56,857.50 = 56,857.50/x
3. Step 3: Cross multiply
   37,902x = 56,857.50 × 56,857.50
4. Step 4: Simplify right side
   37,902x = 3,232,775,306.25
5. Step 5: Solve for x
   x = 3,232,775,306.25/37,902
6. Step 6: Final answer
   x = 85,293.00