Finding the Third Proportional to 38,349.75 and 78,602.44

Step by Step Solution

1. Step 1: Write the proportion equation
   38,349.75 : 78,602.44 = 78,602.44 : x
2. Step 2: Convert to fraction form
   38,349.75/78,602.44 = 78,602.44/x
3. Step 3: Cross multiply
   38,349.75x = 78,602.44 × 78,602.44
4. Step 4: Simplify right side
   38,349.75x = 6,178,343,180.94
5. Step 5: Solve for x
   x = 6,178,343,180.94/38,349.75
6. Step 6: Final answer
   x = 161,105.17