Finding the Third Proportional to 39,822 and 62,152.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,822 : 62,152.50 = 62,152.50 : x
2. Step 2: Convert to fraction form
   39,822/62,152.50 = 62,152.50/x
3. Step 3: Cross multiply
   39,822x = 62,152.50 × 62,152.50
4. Step 4: Simplify right side
   39,822x = 3,862,933,256.25
5. Step 5: Solve for x
   x = 3,862,933,256.25/39,822
6. Step 6: Final answer
   x = 97,005.00