Finding the Third Proportional to 35,493.50 and 78,367.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,493.50 : 78,367.50 = 78,367.50 : x
2. Step 2: Convert to fraction form
   35,493.50/78,367.50 = 78,367.50/x
3. Step 3: Cross multiply
   35,493.50x = 78,367.50 × 78,367.50
4. Step 4: Simplify right side
   35,493.50x = 6,141,465,056.25
5. Step 5: Solve for x
   x = 6,141,465,056.25/35,493.50
6. Step 6: Final answer
   x = 173,030.70