Finding the Third Proportional to 19,413 and 32,215.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,413 : 32,215.50 = 32,215.50 : x
2. Step 2: Convert to fraction form
   19,413/32,215.50 = 32,215.50/x
3. Step 3: Cross multiply
   19,413x = 32,215.50 × 32,215.50
4. Step 4: Simplify right side
   19,413x = 1,037,838,440.25
5. Step 5: Solve for x
   x = 1,037,838,440.25/19,413
6. Step 6: Final answer
   x = 53,461.00