Finding the Third Proportional to 27,430 and 59,022.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,430 : 59,022.50 = 59,022.50 : x
2. Step 2: Convert to fraction form
   27,430/59,022.50 = 59,022.50/x
3. Step 3: Cross multiply
   27,430x = 59,022.50 × 59,022.50
4. Step 4: Simplify right side
   27,430x = 3,483,655,506.25
5. Step 5: Solve for x
   x = 3,483,655,506.25/27,430
6. Step 6: Final answer
   x = 127,001.66