Finding the Third Proportional to 21,642 and 45,889.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,642 : 45,889.50 = 45,889.50 : x
2. Step 2: Convert to fraction form
   21,642/45,889.50 = 45,889.50/x
3. Step 3: Cross multiply
   21,642x = 45,889.50 × 45,889.50
4. Step 4: Simplify right side
   21,642x = 2,105,846,210.25
5. Step 5: Solve for x
   x = 2,105,846,210.25/21,642
6. Step 6: Final answer
   x = 97,303.68