Finding the Third Proportional to 27,824.50 and 61,869.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,824.50 : 61,869.50 = 61,869.50 : x
2. Step 2: Convert to fraction form
   27,824.50/61,869.50 = 61,869.50/x
3. Step 3: Cross multiply
   27,824.50x = 61,869.50 × 61,869.50
4. Step 4: Simplify right side
   27,824.50x = 3,827,835,030.25
5. Step 5: Solve for x
   x = 3,827,835,030.25/27,824.50
6. Step 6: Final answer
   x = 137,570.67