Finding the Third Proportional to 38,411.50 and 78,347.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,411.50 : 78,347.50 = 78,347.50 : x
2. Step 2: Convert to fraction form
   38,411.50/78,347.50 = 78,347.50/x
3. Step 3: Cross multiply
   38,411.50x = 78,347.50 × 78,347.50
4. Step 4: Simplify right side
   38,411.50x = 6,138,330,756.25
5. Step 5: Solve for x
   x = 6,138,330,756.25/38,411.50
6. Step 6: Final answer
   x = 159,804.51