Finding the Third Proportional to 52,501.50 and 83,497.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,501.50 : 83,497.50 = 83,497.50 : x
2. Step 2: Convert to fraction form
   52,501.50/83,497.50 = 83,497.50/x
3. Step 3: Cross multiply
   52,501.50x = 83,497.50 × 83,497.50
4. Step 4: Simplify right side
   52,501.50x = 6,971,832,506.25
5. Step 5: Solve for x
   x = 6,971,832,506.25/52,501.50
6. Step 6: Final answer
   x = 132,793.02