Finding the Third Proportional to 37,309.50 and 51,711

Step by Step Solution

1. Step 1: Write the proportion equation
   37,309.50 : 51,711 = 51,711 : x
2. Step 2: Convert to fraction form
   37,309.50/51,711 = 51,711/x
3. Step 3: Cross multiply
   37,309.50x = 51,711 × 51,711
4. Step 4: Simplify right side
   37,309.50x = 2,674,027,521
5. Step 5: Solve for x
   x = 2,674,027,521/37,309.50
6. Step 6: Final answer
   x = 71,671.49