Finding the Third Proportional to 37,206 and 52,042.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,206 : 52,042.50 = 52,042.50 : x
2. Step 2: Convert to fraction form
   37,206/52,042.50 = 52,042.50/x
3. Step 3: Cross multiply
   37,206x = 52,042.50 × 52,042.50
4. Step 4: Simplify right side
   37,206x = 2,708,421,806.25
5. Step 5: Solve for x
   x = 2,708,421,806.25/37,206
6. Step 6: Final answer
   x = 72,795.30