Finding the Third Proportional to 42,301.50 and 92,971.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,301.50 : 92,971.50 = 92,971.50 : x
2. Step 2: Convert to fraction form
   42,301.50/92,971.50 = 92,971.50/x
3. Step 3: Cross multiply
   42,301.50x = 92,971.50 × 92,971.50
4. Step 4: Simplify right side
   42,301.50x = 8,643,699,812.25
5. Step 5: Solve for x
   x = 8,643,699,812.25/42,301.50
6. Step 6: Final answer
   x = 204,335.54