Finding the Third Proportional to 577 and 1,032.50

Step by Step Solution

1. Step 1: Write the proportion equation
   577 : 1,032.50 = 1,032.50 : x
2. Step 2: Convert to fraction form
   577/1,032.50 = 1,032.50/x
3. Step 3: Cross multiply
   577x = 1,032.50 × 1,032.50
4. Step 4: Simplify right side
   577x = 1,066,056.25
5. Step 5: Solve for x
   x = 1,066,056.25/577
6. Step 6: Final answer
   x = 1,847.58