Finding the Third Proportional to 30,654 and 42,214.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,654 : 42,214.50 = 42,214.50 : x
2. Step 2: Convert to fraction form
   30,654/42,214.50 = 42,214.50/x
3. Step 3: Cross multiply
   30,654x = 42,214.50 × 42,214.50
4. Step 4: Simplify right side
   30,654x = 1,782,064,010.25
5. Step 5: Solve for x
   x = 1,782,064,010.25/30,654
6. Step 6: Final answer
   x = 58,134.80