Finding the Third Proportional to 37,688.50 and 51,184.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,688.50 : 51,184.75 = 51,184.75 : x
2. Step 2: Convert to fraction form
   37,688.50/51,184.75 = 51,184.75/x
3. Step 3: Cross multiply
   37,688.50x = 51,184.75 × 51,184.75
4. Step 4: Simplify right side
   37,688.50x = 2,619,878,632.56
5. Step 5: Solve for x
   x = 2,619,878,632.56/37,688.50
6. Step 6: Final answer
   x = 69,514.01