Finding the Third Proportional to 19,534 and 30,111.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,534 : 30,111.50 = 30,111.50 : x
2. Step 2: Convert to fraction form
   19,534/30,111.50 = 30,111.50/x
3. Step 3: Cross multiply
   19,534x = 30,111.50 × 30,111.50
4. Step 4: Simplify right side
   19,534x = 906,702,432.25
5. Step 5: Solve for x
   x = 906,702,432.25/19,534
6. Step 6: Final answer
   x = 46,416.63