Finding the Third Proportional to 30,429 and 41,719.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,429 : 41,719.50 = 41,719.50 : x
2. Step 2: Convert to fraction form
   30,429/41,719.50 = 41,719.50/x
3. Step 3: Cross multiply
   30,429x = 41,719.50 × 41,719.50
4. Step 4: Simplify right side
   30,429x = 1,740,516,680.25
5. Step 5: Solve for x
   x = 1,740,516,680.25/30,429
6. Step 6: Final answer
   x = 57,199.27