Finding the Third Proportional to 53,503.50 and 83,212.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,503.50 : 83,212.50 = 83,212.50 : x
2. Step 2: Convert to fraction form
   53,503.50/83,212.50 = 83,212.50/x
3. Step 3: Cross multiply
   53,503.50x = 83,212.50 × 83,212.50
4. Step 4: Simplify right side
   53,503.50x = 6,924,320,156.25
5. Step 5: Solve for x
   x = 6,924,320,156.25/53,503.50
6. Step 6: Final answer
   x = 129,418.08