Finding the Third Proportional to 19,534.50 and 38,093.63

Step by Step Solution

1. Step 1: Write the proportion equation
   19,534.50 : 38,093.63 = 38,093.63 : x
2. Step 2: Convert to fraction form
   19,534.50/38,093.63 = 38,093.63/x
3. Step 3: Cross multiply
   19,534.50x = 38,093.63 × 38,093.63
4. Step 4: Simplify right side
   19,534.50x = 1,451,124,265.64
5. Step 5: Solve for x
   x = 1,451,124,265.64/19,534.50
6. Step 6: Final answer
   x = 74,285.20