Finding the Third Proportional to 49,470 and 69,200.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,470 : 69,200.50 = 69,200.50 : x
2. Step 2: Convert to fraction form
   49,470/69,200.50 = 69,200.50/x
3. Step 3: Cross multiply
   49,470x = 69,200.50 × 69,200.50
4. Step 4: Simplify right side
   49,470x = 4,788,709,200.25
5. Step 5: Solve for x
   x = 4,788,709,200.25/49,470
6. Step 6: Final answer
   x = 96,800.27