Finding the Third Proportional to 21,645 and 46,633.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,645 : 46,633.50 = 46,633.50 : x
2. Step 2: Convert to fraction form
   21,645/46,633.50 = 46,633.50/x
3. Step 3: Cross multiply
   21,645x = 46,633.50 × 46,633.50
4. Step 4: Simplify right side
   21,645x = 2,174,683,322.25
5. Step 5: Solve for x
   x = 2,174,683,322.25/21,645
6. Step 6: Final answer
   x = 100,470.47