Finding the Third Proportional to 56,692.50 and 84,742.50

Step by Step Solution

1. Step 1: Write the proportion equation
   56,692.50 : 84,742.50 = 84,742.50 : x
2. Step 2: Convert to fraction form
   56,692.50/84,742.50 = 84,742.50/x
3. Step 3: Cross multiply
   56,692.50x = 84,742.50 × 84,742.50
4. Step 4: Simplify right side
   56,692.50x = 7,181,291,306.25
5. Step 5: Solve for x
   x = 7,181,291,306.25/56,692.50
6. Step 6: Final answer
   x = 126,670.92