Finding the Third Proportional to 35,478 and 52,909.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,478 : 52,909.50 = 52,909.50 : x
2. Step 2: Convert to fraction form
   35,478/52,909.50 = 52,909.50/x
3. Step 3: Cross multiply
   35,478x = 52,909.50 × 52,909.50
4. Step 4: Simplify right side
   35,478x = 2,799,415,190.25
5. Step 5: Solve for x
   x = 2,799,415,190.25/35,478
6. Step 6: Final answer
   x = 78,905.67