Finding the Third Proportional to 52,782 and 75,421.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,782 : 75,421.50 = 75,421.50 : x
2. Step 2: Convert to fraction form
   52,782/75,421.50 = 75,421.50/x
3. Step 3: Cross multiply
   52,782x = 75,421.50 × 75,421.50
4. Step 4: Simplify right side
   52,782x = 5,688,402,662.25
5. Step 5: Solve for x
   x = 5,688,402,662.25/52,782
6. Step 6: Final answer
   x = 107,771.64