Finding the Third Proportional to 30,535 and 48,573.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,535 : 48,573.50 = 48,573.50 : x
2. Step 2: Convert to fraction form
   30,535/48,573.50 = 48,573.50/x
3. Step 3: Cross multiply
   30,535x = 48,573.50 × 48,573.50
4. Step 4: Simplify right side
   30,535x = 2,359,384,902.25
5. Step 5: Solve for x
   x = 2,359,384,902.25/30,535
6. Step 6: Final answer
   x = 77,268.21