Finding the Third Proportional to 37,746 and 59,967

Step by Step Solution

1. Step 1: Write the proportion equation
   37,746 : 59,967 = 59,967 : x
2. Step 2: Convert to fraction form
   37,746/59,967 = 59,967/x
3. Step 3: Cross multiply
   37,746x = 59,967 × 59,967
4. Step 4: Simplify right side
   37,746x = 3,596,041,089
5. Step 5: Solve for x
   x = 3,596,041,089/37,746
6. Step 6: Final answer
   x = 95,269.46