Finding the Third Proportional to 48,322.50 and 74,670.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,322.50 : 74,670.50 = 74,670.50 : x
2. Step 2: Convert to fraction form
   48,322.50/74,670.50 = 74,670.50/x
3. Step 3: Cross multiply
   48,322.50x = 74,670.50 × 74,670.50
4. Step 4: Simplify right side
   48,322.50x = 5,575,683,570.25
5. Step 5: Solve for x
   x = 5,575,683,570.25/48,322.50
6. Step 6: Final answer
   x = 115,384.83