Finding the Third Proportional to 35,974.13 and 78,499.13

Step by Step Solution

1. Step 1: Write the proportion equation
   35,974.13 : 78,499.13 = 78,499.13 : x
2. Step 2: Convert to fraction form
   35,974.13/78,499.13 = 78,499.13/x
3. Step 3: Cross multiply
   35,974.13x = 78,499.13 × 78,499.13
4. Step 4: Simplify right side
   35,974.13x = 6,162,112,625.77
5. Step 5: Solve for x
   x = 6,162,112,625.77/35,974.13
6. Step 6: Final answer
   x = 171,292.91