Finding the Third Proportional to 38,377.50 and 53,966.63

Step by Step Solution

1. Step 1: Write the proportion equation
   38,377.50 : 53,966.63 = 53,966.63 : x
2. Step 2: Convert to fraction form
   38,377.50/53,966.63 = 53,966.63/x
3. Step 3: Cross multiply
   38,377.50x = 53,966.63 × 53,966.63
4. Step 4: Simplify right side
   38,377.50x = 2,912,396,613.89
5. Step 5: Solve for x
   x = 2,912,396,613.89/38,377.50
6. Step 6: Final answer
   x = 75,888.13