Finding the Third Proportional to 1,525.88 and 1,981.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,525.88 : 1,981.50 = 1,981.50 : x
2. Step 2: Convert to fraction form
   1,525.88/1,981.50 = 1,981.50/x
3. Step 3: Cross multiply
   1,525.88x = 1,981.50 × 1,981.50
4. Step 4: Simplify right side
   1,525.88x = 3,926,342.25
5. Step 5: Solve for x
   x = 3,926,342.25/1,525.88
6. Step 6: Final answer
   x = 2,573.17