Finding the Third Proportional to 52,214.50 and 84,072.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,214.50 : 84,072.50 = 84,072.50 : x
2. Step 2: Convert to fraction form
   52,214.50/84,072.50 = 84,072.50/x
3. Step 3: Cross multiply
   52,214.50x = 84,072.50 × 84,072.50
4. Step 4: Simplify right side
   52,214.50x = 7,068,185,256.25
5. Step 5: Solve for x
   x = 7,068,185,256.25/52,214.50
6. Step 6: Final answer
   x = 135,368.25