Finding the Third Proportional to 37,837.13 and 47,683.69

Step by Step Solution

1. Step 1: Write the proportion equation
   37,837.13 : 47,683.69 = 47,683.69 : x
2. Step 2: Convert to fraction form
   37,837.13/47,683.69 = 47,683.69/x
3. Step 3: Cross multiply
   37,837.13x = 47,683.69 × 47,683.69
4. Step 4: Simplify right side
   37,837.13x = 2,273,734,053.60
5. Step 5: Solve for x
   x = 2,273,734,053.60/37,837.13
6. Step 6: Final answer
   x = 60,092.67