Finding the Third Proportional to 19,683 and 28,792.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,683 : 28,792.50 = 28,792.50 : x
2. Step 2: Convert to fraction form
   19,683/28,792.50 = 28,792.50/x
3. Step 3: Cross multiply
   19,683x = 28,792.50 × 28,792.50
4. Step 4: Simplify right side
   19,683x = 829,008,056.25
5. Step 5: Solve for x
   x = 829,008,056.25/19,683
6. Step 6: Final answer
   x = 42,117.97