Finding the Third Proportional to 14,816 and 34,972.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,816 : 34,972.50 = 34,972.50 : x
2. Step 2: Convert to fraction form
   14,816/34,972.50 = 34,972.50/x
3. Step 3: Cross multiply
   14,816x = 34,972.50 × 34,972.50
4. Step 4: Simplify right side
   14,816x = 1,223,075,756.25
5. Step 5: Solve for x
   x = 1,223,075,756.25/14,816
6. Step 6: Final answer
   x = 82,551.01