Finding the Third Proportional to 37,306.50 and 61,185

Step by Step Solution

1. Step 1: Write the proportion equation
   37,306.50 : 61,185 = 61,185 : x
2. Step 2: Convert to fraction form
   37,306.50/61,185 = 61,185/x
3. Step 3: Cross multiply
   37,306.50x = 61,185 × 61,185
4. Step 4: Simplify right side
   37,306.50x = 3,743,604,225
5. Step 5: Solve for x
   x = 3,743,604,225/37,306.50
6. Step 6: Final answer
   x = 100,347.24