Finding the Third Proportional to 30,210 and 47,713.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,210 : 47,713.50 = 47,713.50 : x
2. Step 2: Convert to fraction form
   30,210/47,713.50 = 47,713.50/x
3. Step 3: Cross multiply
   30,210x = 47,713.50 × 47,713.50
4. Step 4: Simplify right side
   30,210x = 2,276,578,082.25
5. Step 5: Solve for x
   x = 2,276,578,082.25/30,210
6. Step 6: Final answer
   x = 75,358.43