Finding the Third Proportional to 35,562 and 52,027.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,562 : 52,027.50 = 52,027.50 : x
2. Step 2: Convert to fraction form
   35,562/52,027.50 = 52,027.50/x
3. Step 3: Cross multiply
   35,562x = 52,027.50 × 52,027.50
4. Step 4: Simplify right side
   35,562x = 2,706,860,756.25
5. Step 5: Solve for x
   x = 2,706,860,756.25/35,562
6. Step 6: Final answer
   x = 76,116.66