Finding the Third Proportional to 37,753.50 and 59,978.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,753.50 : 59,978.25 = 59,978.25 : x
2. Step 2: Convert to fraction form
   37,753.50/59,978.25 = 59,978.25/x
3. Step 3: Cross multiply
   37,753.50x = 59,978.25 × 59,978.25
4. Step 4: Simplify right side
   37,753.50x = 3,597,390,473.06
5. Step 5: Solve for x
   x = 3,597,390,473.06/37,753.50
6. Step 6: Final answer
   x = 95,286.28