Finding the Third Proportional to 38,323 and 51,499.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,323 : 51,499.50 = 51,499.50 : x
2. Step 2: Convert to fraction form
   38,323/51,499.50 = 51,499.50/x
3. Step 3: Cross multiply
   38,323x = 51,499.50 × 51,499.50
4. Step 4: Simplify right side
   38,323x = 2,652,198,500.25
5. Step 5: Solve for x
   x = 2,652,198,500.25/38,323
6. Step 6: Final answer
   x = 69,206.44