Finding the Third Proportional to 35,216.75 and 78,307.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,216.75 : 78,307.50 = 78,307.50 : x
2. Step 2: Convert to fraction form
   35,216.75/78,307.50 = 78,307.50/x
3. Step 3: Cross multiply
   35,216.75x = 78,307.50 × 78,307.50
4. Step 4: Simplify right side
   35,216.75x = 6,132,064,556.25
5. Step 5: Solve for x
   x = 6,132,064,556.25/35,216.75
6. Step 6: Final answer
   x = 174,123.52