Finding the Third Proportional to 35,930.25 and 78,142.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,930.25 : 78,142.50 = 78,142.50 : x
2. Step 2: Convert to fraction form
   35,930.25/78,142.50 = 78,142.50/x
3. Step 3: Cross multiply
   35,930.25x = 78,142.50 × 78,142.50
4. Step 4: Simplify right side
   35,930.25x = 6,106,250,306.25
5. Step 5: Solve for x
   x = 6,106,250,306.25/35,930.25
6. Step 6: Final answer
   x = 169,947.34