Finding the Third Proportional to 35,743.50 and 47,002.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,743.50 : 47,002.50 = 47,002.50 : x
2. Step 2: Convert to fraction form
   35,743.50/47,002.50 = 47,002.50/x
3. Step 3: Cross multiply
   35,743.50x = 47,002.50 × 47,002.50
4. Step 4: Simplify right side
   35,743.50x = 2,209,235,006.25
5. Step 5: Solve for x
   x = 2,209,235,006.25/35,743.50
6. Step 6: Final answer
   x = 61,808.02