Finding the Third Proportional to 21,820 and 47,528.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,820 : 47,528.50 = 47,528.50 : x
2. Step 2: Convert to fraction form
   21,820/47,528.50 = 47,528.50/x
3. Step 3: Cross multiply
   21,820x = 47,528.50 × 47,528.50
4. Step 4: Simplify right side
   21,820x = 2,258,958,312.25
5. Step 5: Solve for x
   x = 2,258,958,312.25/21,820
6. Step 6: Final answer
   x = 103,526.96