Finding the Third Proportional to 34,740 and 53,827.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,740 : 53,827.50 = 53,827.50 : x
2. Step 2: Convert to fraction form
   34,740/53,827.50 = 53,827.50/x
3. Step 3: Cross multiply
   34,740x = 53,827.50 × 53,827.50
4. Step 4: Simplify right side
   34,740x = 2,897,399,756.25
5. Step 5: Solve for x
   x = 2,897,399,756.25/34,740
6. Step 6: Final answer
   x = 83,402.41