Finding the Third Proportional to 37,768 and 59,985

Step by Step Solution

1. Step 1: Write the proportion equation
   37,768 : 59,985 = 59,985 : x
2. Step 2: Convert to fraction form
   37,768/59,985 = 59,985/x
3. Step 3: Cross multiply
   37,768x = 59,985 × 59,985
4. Step 4: Simplify right side
   37,768x = 3,598,200,225
5. Step 5: Solve for x
   x = 3,598,200,225/37,768
6. Step 6: Final answer
   x = 95,271.13