Finding the Third Proportional to 33,784.50 and 52,997.63

Step by Step Solution

1. Step 1: Write the proportion equation
   33,784.50 : 52,997.63 = 52,997.63 : x
2. Step 2: Convert to fraction form
   33,784.50/52,997.63 = 52,997.63/x
3. Step 3: Cross multiply
   33,784.50x = 52,997.63 × 52,997.63
4. Step 4: Simplify right side
   33,784.50x = 2,808,748,255.64
5. Step 5: Solve for x
   x = 2,808,748,255.64/33,784.50
6. Step 6: Final answer
   x = 83,137.19