Finding the Third Proportional to 34,430.50 and 53,164.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,430.50 : 53,164.50 = 53,164.50 : x
2. Step 2: Convert to fraction form
   34,430.50/53,164.50 = 53,164.50/x
3. Step 3: Cross multiply
   34,430.50x = 53,164.50 × 53,164.50
4. Step 4: Simplify right side
   34,430.50x = 2,826,464,060.25
5. Step 5: Solve for x
   x = 2,826,464,060.25/34,430.50
6. Step 6: Final answer
   x = 82,091.87