Finding the Third Proportional to 61,776 and 83,902.50

Step by Step Solution

1. Step 1: Write the proportion equation
   61,776 : 83,902.50 = 83,902.50 : x
2. Step 2: Convert to fraction form
   61,776/83,902.50 = 83,902.50/x
3. Step 3: Cross multiply
   61,776x = 83,902.50 × 83,902.50
4. Step 4: Simplify right side
   61,776x = 7,039,629,506.25
5. Step 5: Solve for x
   x = 7,039,629,506.25/61,776
6. Step 6: Final answer
   x = 113,954.12