Finding the Third Proportional to 5,106.88 and 7,032.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,106.88 : 7,032.50 = 7,032.50 : x
2. Step 2: Convert to fraction form
   5,106.88/7,032.50 = 7,032.50/x
3. Step 3: Cross multiply
   5,106.88x = 7,032.50 × 7,032.50
4. Step 4: Simplify right side
   5,106.88x = 49,456,056.25
5. Step 5: Solve for x
   x = 49,456,056.25/5,106.88
6. Step 6: Final answer
   x = 9,684.21