Finding the Third Proportional to 37,743 and 48,406.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,743 : 48,406.50 = 48,406.50 : x
2. Step 2: Convert to fraction form
   37,743/48,406.50 = 48,406.50/x
3. Step 3: Cross multiply
   37,743x = 48,406.50 × 48,406.50
4. Step 4: Simplify right side
   37,743x = 2,343,189,242.25
5. Step 5: Solve for x
   x = 2,343,189,242.25/37,743
6. Step 6: Final answer
   x = 62,082.75