Finding the Third Proportional to 35,938 and 78,091

Step by Step Solution

1. Step 1: Write the proportion equation
   35,938 : 78,091 = 78,091 : x
2. Step 2: Convert to fraction form
   35,938/78,091 = 78,091/x
3. Step 3: Cross multiply
   35,938x = 78,091 × 78,091
4. Step 4: Simplify right side
   35,938x = 6,098,204,281
5. Step 5: Solve for x
   x = 6,098,204,281/35,938
6. Step 6: Final answer
   x = 169,686.80