Finding the Third Proportional to 37,677 and 57,000.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,677 : 57,000.50 = 57,000.50 : x
2. Step 2: Convert to fraction form
   37,677/57,000.50 = 57,000.50/x
3. Step 3: Cross multiply
   37,677x = 57,000.50 × 57,000.50
4. Step 4: Simplify right side
   37,677x = 3,249,057,000.25
5. Step 5: Solve for x
   x = 3,249,057,000.25/37,677
6. Step 6: Final answer
   x = 86,234.49