Finding the Third Proportional to 35,644.50 and 78,093

Step by Step Solution

1. Step 1: Write the proportion equation
   35,644.50 : 78,093 = 78,093 : x
2. Step 2: Convert to fraction form
   35,644.50/78,093 = 78,093/x
3. Step 3: Cross multiply
   35,644.50x = 78,093 × 78,093
4. Step 4: Simplify right side
   35,644.50x = 6,098,516,649
5. Step 5: Solve for x
   x = 6,098,516,649/35,644.50
6. Step 6: Final answer
   x = 171,092.78