Finding the Third Proportional to 37,190 and 56,657.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,190 : 56,657.50 = 56,657.50 : x
2. Step 2: Convert to fraction form
   37,190/56,657.50 = 56,657.50/x
3. Step 3: Cross multiply
   37,190x = 56,657.50 × 56,657.50
4. Step 4: Simplify right side
   37,190x = 3,210,072,306.25
5. Step 5: Solve for x
   x = 3,210,072,306.25/37,190
6. Step 6: Final answer
   x = 86,315.47