Finding the Third Proportional to 38,461.50 and 78,840

Step by Step Solution

1. Step 1: Write the proportion equation
   38,461.50 : 78,840 = 78,840 : x
2. Step 2: Convert to fraction form
   38,461.50/78,840 = 78,840/x
3. Step 3: Cross multiply
   38,461.50x = 78,840 × 78,840
4. Step 4: Simplify right side
   38,461.50x = 6,215,745,600
5. Step 5: Solve for x
   x = 6,215,745,600/38,461.50
6. Step 6: Final answer
   x = 161,609.55