Finding the Third Proportional to 19,691 and 30,156.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,691 : 30,156.50 = 30,156.50 : x
2. Step 2: Convert to fraction form
   19,691/30,156.50 = 30,156.50/x
3. Step 3: Cross multiply
   19,691x = 30,156.50 × 30,156.50
4. Step 4: Simplify right side
   19,691x = 909,414,492.25
5. Step 5: Solve for x
   x = 909,414,492.25/19,691
6. Step 6: Final answer
   x = 46,184.27