Finding the Third Proportional to 38,394 and 78,701.63

Step by Step Solution

1. Step 1: Write the proportion equation
   38,394 : 78,701.63 = 78,701.63 : x
2. Step 2: Convert to fraction form
   38,394/78,701.63 = 78,701.63/x
3. Step 3: Cross multiply
   38,394x = 78,701.63 × 78,701.63
4. Step 4: Simplify right side
   38,394x = 6,193,945,777.64
5. Step 5: Solve for x
   x = 6,193,945,777.64/38,394
6. Step 6: Final answer
   x = 161,325.88