Finding the Third Proportional to 38,342.06 and 78,543.38

Step by Step Solution

1. Step 1: Write the proportion equation
   38,342.06 : 78,543.38 = 78,543.38 : x
2. Step 2: Convert to fraction form
   38,342.06/78,543.38 = 78,543.38/x
3. Step 3: Cross multiply
   38,342.06x = 78,543.38 × 78,543.38
4. Step 4: Simplify right side
   38,342.06x = 6,169,061,756.39
5. Step 5: Solve for x
   x = 6,169,061,756.39/38,342.06
6. Step 6: Final answer
   x = 160,895.41