Finding the Third Proportional to 30,909 and 43,663.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,909 : 43,663.50 = 43,663.50 : x
2. Step 2: Convert to fraction form
   30,909/43,663.50 = 43,663.50/x
3. Step 3: Cross multiply
   30,909x = 43,663.50 × 43,663.50
4. Step 4: Simplify right side
   30,909x = 1,906,501,232.25
5. Step 5: Solve for x
   x = 1,906,501,232.25/30,909
6. Step 6: Final answer
   x = 61,681.10