Finding the Third Proportional to 33,465 and 51,847.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,465 : 51,847.50 = 51,847.50 : x
2. Step 2: Convert to fraction form
   33,465/51,847.50 = 51,847.50/x
3. Step 3: Cross multiply
   33,465x = 51,847.50 × 51,847.50
4. Step 4: Simplify right side
   33,465x = 2,688,163,256.25
5. Step 5: Solve for x
   x = 2,688,163,256.25/33,465
6. Step 6: Final answer
   x = 80,327.60