Finding the Third Proportional to 21,006 and 46,156.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,006 : 46,156.50 = 46,156.50 : x
2. Step 2: Convert to fraction form
   21,006/46,156.50 = 46,156.50/x
3. Step 3: Cross multiply
   21,006x = 46,156.50 × 46,156.50
4. Step 4: Simplify right side
   21,006x = 2,130,422,492.25
5. Step 5: Solve for x
   x = 2,130,422,492.25/21,006
6. Step 6: Final answer
   x = 101,419.71