Finding the Third Proportional to 1,978.17 and 2,972.95

Step by Step Solution

1. Step 1: Write the proportion equation
   1,978.17 : 2,972.95 = 2,972.95 : x
2. Step 2: Convert to fraction form
   1,978.17/2,972.95 = 2,972.95/x
3. Step 3: Cross multiply
   1,978.17x = 2,972.95 × 2,972.95
4. Step 4: Simplify right side
   1,978.17x = 8,838,450.28
5. Step 5: Solve for x
   x = 8,838,450.28/1,978.17
6. Step 6: Final answer
   x = 4,467.99