Finding the Third Proportional to 37,770 and 55,609.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,770 : 55,609.50 = 55,609.50 : x
2. Step 2: Convert to fraction form
   37,770/55,609.50 = 55,609.50/x
3. Step 3: Cross multiply
   37,770x = 55,609.50 × 55,609.50
4. Step 4: Simplify right side
   37,770x = 3,092,416,490.25
5. Step 5: Solve for x
   x = 3,092,416,490.25/37,770
6. Step 6: Final answer
   x = 81,874.94