Finding the Third Proportional to 13,113 and 19,665.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,113 : 19,665.50 = 19,665.50 : x
2. Step 2: Convert to fraction form
   13,113/19,665.50 = 19,665.50/x
3. Step 3: Cross multiply
   13,113x = 19,665.50 × 19,665.50
4. Step 4: Simplify right side
   13,113x = 386,731,890.25
5. Step 5: Solve for x
   x = 386,731,890.25/13,113
6. Step 6: Final answer
   x = 29,492.25