Finding the Third Proportional to 14,818 and 34,977.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,818 : 34,977.50 = 34,977.50 : x
2. Step 2: Convert to fraction form
   14,818/34,977.50 = 34,977.50/x
3. Step 3: Cross multiply
   14,818x = 34,977.50 × 34,977.50
4. Step 4: Simplify right side
   14,818x = 1,223,425,506.25
5. Step 5: Solve for x
   x = 1,223,425,506.25/14,818
6. Step 6: Final answer
   x = 82,563.47