Finding the Third Proportional to 37,749 and 55,516.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,749 : 55,516.50 = 55,516.50 : x
2. Step 2: Convert to fraction form
   37,749/55,516.50 = 55,516.50/x
3. Step 3: Cross multiply
   37,749x = 55,516.50 × 55,516.50
4. Step 4: Simplify right side
   37,749x = 3,082,081,772.25
5. Step 5: Solve for x
   x = 3,082,081,772.25/37,749
6. Step 6: Final answer
   x = 81,646.71