Finding the Third Proportional to 35,877.50 and 78,213.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,877.50 : 78,213.50 = 78,213.50 : x
2. Step 2: Convert to fraction form
   35,877.50/78,213.50 = 78,213.50/x
3. Step 3: Cross multiply
   35,877.50x = 78,213.50 × 78,213.50
4. Step 4: Simplify right side
   35,877.50x = 6,117,351,582.25
5. Step 5: Solve for x
   x = 6,117,351,582.25/35,877.50
6. Step 6: Final answer
   x = 170,506.63