Finding the Third Proportional to 30,324 and 42,109.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,324 : 42,109.50 = 42,109.50 : x
2. Step 2: Convert to fraction form
   30,324/42,109.50 = 42,109.50/x
3. Step 3: Cross multiply
   30,324x = 42,109.50 × 42,109.50
4. Step 4: Simplify right side
   30,324x = 1,773,209,990.25
5. Step 5: Solve for x
   x = 1,773,209,990.25/30,324
6. Step 6: Final answer
   x = 58,475.46