Finding the Third Proportional to 14,880 and 34,996.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,880 : 34,996.50 = 34,996.50 : x
2. Step 2: Convert to fraction form
   14,880/34,996.50 = 34,996.50/x
3. Step 3: Cross multiply
   14,880x = 34,996.50 × 34,996.50
4. Step 4: Simplify right side
   14,880x = 1,224,755,012.25
5. Step 5: Solve for x
   x = 1,224,755,012.25/14,880
6. Step 6: Final answer
   x = 82,308.80